{"id":28408,"date":"2023-04-07T20:12:41","date_gmt":"2023-04-07T20:12:41","guid":{"rendered":"https:\/\/onlinemathtutor.co\/?page_id=28408"},"modified":"2023-06-27T04:39:23","modified_gmt":"2023-06-27T04:39:23","slug":"linear-algebra-videos","status":"publish","type":"page","link":"https:\/\/onlinemathtutor.co\/course-content\/linear-algebra-resources\/linear-algebra-videos\/","title":{"rendered":"Linear Algebra &#8211; [Videos]"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"28408\" class=\"elementor elementor-28408\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cf94f59 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cf94f59\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-8d3a9d0\" data-id=\"8d3a9d0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5d6e87d elementor-widget elementor-widget-heading\" data-id=\"5d6e87d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Linear Algebra<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-08a0359 elementor-widget elementor-widget-heading\" data-id=\"08a0359\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Conversations with Chris<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div 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class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-80f670a\" data-id=\"80f670a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5768e81 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"5768e81\" data-element_type=\"widget\" data-settings=\"{&quot;motion_fx_motion_fx_scrolling&quot;:&quot;yes&quot;,&quot;motion_fx_translateX_effect&quot;:&quot;yes&quot;,&quot;motion_fx_translateX_direction&quot;:&quot;negative&quot;,&quot;motion_fx_translateX_speed&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:1.5,&quot;sizes&quot;:[]},&quot;motion_fx_translateX_affectedRange&quot;:{&quot;unit&quot;:&quot;%&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:{&quot;start&quot;:5,&quot;end&quot;:40}},&quot;motion_fx_devices&quot;:[&quot;desktop&quot;,&quot;tablet&quot;,&quot;mobile&quot;]}\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-hand-point-right\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-3faf20f\" data-id=\"3faf20f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9737238 elementor-widget-tablet__width-initial elementor-widget elementor-widget-toggle\" data-id=\"9737238\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1581\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1581\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-square-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-square-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">[Trial Session] Lesson19 - Diagonalization - [Click Here]<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1581\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1581\"><table class=\"wp-list-table widefat fixed striped table-view-list posts aligncenter\"><tbody id=\"the-list\"><tr id=\"post-29090\" class=\"iedit author-self level-0 post-29090 type-pp_video_block status-publish hentry\"><td class=\"shortcode column-shortcode\" data-colname=\"Shortcode\"><code>\n<div class=\"wp-block-presto-player-reusable-edit\"><!--presto-player:video_id=23--><figure class=\"wp-block-video presto-block-video  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elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f9f1656 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"f9f1656\" data-element_type=\"widget\" data-settings=\"{&quot;motion_fx_motion_fx_scrolling&quot;:&quot;yes&quot;,&quot;motion_fx_translateX_effect&quot;:&quot;yes&quot;,&quot;motion_fx_translateX_speed&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:1.5,&quot;sizes&quot;:[]},&quot;motion_fx_translateX_affectedRange&quot;:{&quot;unit&quot;:&quot;%&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:{&quot;start&quot;:5,&quot;end&quot;:40}},&quot;motion_fx_devices&quot;:[&quot;desktop&quot;,&quot;tablet&quot;,&quot;mobile&quot;]}\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-hand-point-left\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9f42d12 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9f42d12\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e5d83b1\" data-id=\"e5d83b1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fa14d33 elementor-widget elementor-widget-spacer\" data-id=\"fa14d33\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-16865dd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"16865dd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2a3d356\" data-id=\"2a3d356\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cdaf98d elementor-headline--style-highlight elementor-widget elementor-widget-animated-headline\" data-id=\"cdaf98d\" data-element_type=\"widget\" data-settings=\"{&quot;marker&quot;:&quot;underline&quot;,&quot;highlighted_text&quot;:&quot;Enroll Today&quot;,&quot;headline_style&quot;:&quot;highlight&quot;,&quot;loop&quot;:&quot;yes&quot;,&quot;highlight_animation_duration&quot;:1200,&quot;highlight_iteration_delay&quot;:8000}\" data-widget_type=\"animated-headline.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<h3 class=\"elementor-headline\">\n\t\t\t\t<span class=\"elementor-headline-dynamic-wrapper elementor-headline-text-wrapper\">\n\t\t\t\t\t<span class=\"elementor-headline-dynamic-text elementor-headline-text-active\">Enroll Today<\/span>\n\t\t\t\t<\/span>\n\t\t\t\t\t<span class=\"elementor-headline-plain-text elementor-headline-text-wrapper\">And Get Full Access<\/span>\n\t\t\t\t\t<\/h3>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4db53a7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4db53a7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-24fb398\" data-id=\"24fb398\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2789500 elementor-widget-tablet__width-initial elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2789500\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson01 - Augmented Matrix and Row Operations<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson02 - Parametric Vector Form<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson03 - Linear Combinations<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson04 - Elementary Matrix, LU Factorization, Inverse<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson05 - Determinants<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson06 - Linearly Depend, RREF<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson07 - Vector Space [Intro]<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson08 - Basis, Null Space, Column Space<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson09 - Basis, Linearly Dependent<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson10 - Change of Basis<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson11 - Projection, Least Squares, Change of Basis<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-d290bab\" data-id=\"d290bab\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-abe7900 elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"abe7900\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson12 - Advanced Subspaces<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson13 - Basis Vectors And Rank-Nullity<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson14 - Change of Basis[Review]<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson15 - Orthogonal Projection, Gram-Schmidt Process<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson16 - Gram-Schmidt Process<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson17 - Eigenvalues<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson18 - QR-Eigenvalues<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson19 - Diagonalization<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson20 - Differential Equations and Recursive Relationships<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson21 - SVD<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8128b0a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8128b0a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fff816e\" data-id=\"fff816e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-690edc7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"690edc7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c0b5eb1\" data-id=\"c0b5eb1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b3e0cf9 elementor-widget elementor-widget-text-editor\" data-id=\"b3e0cf9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><span style=\"text-decoration: underline;\"><strong><span style=\"font-size: 28px;\">Need Quick 24-hour Tutorial Access?<\/span><\/strong><\/span> <br \/><span style=\"font-size: 20px;\">Get full access to the linear algebra curriculum and start mastering your studies today!<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ac72848 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"ac72848\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/academy.onlinemathtutor.co\/courses\/Linear-Algebra-Conversations-6491d882e4b03af615116577\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Get your Video Pass!!<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d5096ab elementor-widget elementor-widget-text-editor\" data-id=\"d5096ab\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><span style=\"font-size: 20px;\">I&#8217;m genuinely excited to work with you and help you master your mathematical skills.<br \/><\/span><span style=\"font-size: 20px;\">Remember, your success is my top priority.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c55d74b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c55d74b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3c7c171\" data-id=\"3c7c171\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9ab3746 elementor-widget elementor-widget-spacer\" data-id=\"9ab3746\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-49d0ab2 elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"49d0ab2\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-be086c5\" data-id=\"be086c5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7e57b92 elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"7e57b92\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson01 - Augmented Matrix and Row Operations<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson02 - Parametric Vector Form<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson03 - Linear Combinations<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson04 - Elementary Matrix, LU Factorization, Inverse<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson05 - Determinants<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson06 - Linearly Depend, RREF<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson07 - Vector Space [Intro]<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson08 - Basis, Null Space, Column Space<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson09 - Basis, Linearly Dependent<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson10 - Change of Basis<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson11 - Projection, Least Squares, Change of Basis<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson12 - Advanced Subspaces<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson13 - Basis Vectors And Rank-Nullity<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson14 - Change of Basis[Review]<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson15 - Orthogonal Projection, Gram-Schmidt Process<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson16 - Gram-Schmidt Process<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson17 - Eigenvalues<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson18 - QR-Eigenvalues<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson19 - Diagonalization<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson20 - Differential Equations and Recursive Relationships<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lesson21 - SVD<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f70c3d5 elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f70c3d5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55576f2\" data-id=\"55576f2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-89d75fa elementor-widget__width-initial elementor-widget-tablet__width-initial e-tabs-view-vertical elementor-layout-end elementor-widget elementor-widget-video-playlist\" data-id=\"89d75fa\" data-element_type=\"widget\" data-settings=\"{&quot;playlist_title&quot;:&quot;Linear Algebra Help Sessions&quot;,&quot;tabs&quot;:[{&quot;_id&quot;:&quot;1c55bc0&quot;,&quot;type&quot;:&quot;section&quot;,&quot;vimeo_url&quot;:null,&quot;title&quot;:&quot;Spring 2023  [Accelerated]&quot;,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:null,&quot;hosted_url&quot;:null,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:&quot;h3&quot;,&quot;video_html_tag&quot;:null,&quot;duration&quot;:null,&quot;thumbnail&quot;:null,&quot;inner_tab_is_content_visible&quot;:null,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null},{&quot;type&quot;:&quot;hosted&quot;,&quot;vimeo_url&quot;:null,&quot;title&quot;:&quot;Spring 2023  [Accelerated]&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/OMT-LinearAlgebra-Chris[2023].mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-VideoPoster.png&quot;,&quot;id&quot;:28757,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;Math Help Videos. Online Math Tutor LLC. 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Gram Schmidt Process&quot;,&quot;youtube_url&quot;:null,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-MacbookPro.png&quot;,&quot;id&quot;:28435,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;type&quot;:&quot;hosted&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/Lesson16-GramSchmidtProcess.mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null,&quot;_id&quot;:&quot;6fbec35&quot;,&quot;hosted_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;},{&quot;type&quot;:&quot;section&quot;,&quot;vimeo_url&quot;:null,&quot;title&quot;:&quot;Eigenvalues And Eigenvectors&quot;,&quot;_id&quot;:&quot;bc6a994&quot;,&quot;youtube_url&quot;:null,&quot;is_external_url&quot;:null,&quot;hosted_url&quot;:null,&quot;external_url&quot;:null,&quot;section_html_tag&quot;:&quot;h3&quot;,&quot;video_html_tag&quot;:null,&quot;duration&quot;:null,&quot;thumbnail&quot;:null,&quot;inner_tab_is_content_visible&quot;:null,&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null},{&quot;title&quot;:&quot;17 - Eigenvalues&quot;,&quot;youtube_url&quot;:null,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-MacbookPro.png&quot;,&quot;id&quot;:28435,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;type&quot;:&quot;hosted&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/Lesson17-Eigenvalues.mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null,&quot;_id&quot;:&quot;3d53020&quot;,&quot;hosted_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;},{&quot;title&quot;:&quot;18 - QR Factorization And Eigenvalues&quot;,&quot;youtube_url&quot;:null,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-MacbookPro.png&quot;,&quot;id&quot;:28435,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;type&quot;:&quot;hosted&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/Lesson18-QR-Eigenvalues.mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null,&quot;_id&quot;:&quot;6435314&quot;,&quot;hosted_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;},{&quot;title&quot;:&quot;19 - Diagonalization&quot;,&quot;youtube_url&quot;:null,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-MacbookPro.png&quot;,&quot;id&quot;:28435,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;type&quot;:&quot;hosted&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/Lesson19-Diagonalization.mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null,&quot;_id&quot;:&quot;e409724&quot;,&quot;hosted_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;},{&quot;title&quot;:&quot;20 - Differential Equations And Recursive Relationships&quot;,&quot;youtube_url&quot;:null,&quot;thumbnail&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/OMT-MacbookPro.png&quot;,&quot;id&quot;:28435,&quot;size&quot;:&quot;&quot;,&quot;alt&quot;:&quot;&quot;,&quot;source&quot;:&quot;library&quot;},&quot;vimeo_url&quot;:null,&quot;type&quot;:&quot;hosted&quot;,&quot;is_external_url&quot;:&quot;yes&quot;,&quot;external_url&quot;:{&quot;url&quot;:&quot;https:\\\/\\\/onlinemathtutor.co\\\/wp-content\\\/uploads\\\/Virtual-Lessons\\\/LinearAlgebra\\\/Chris[SP23]\\\/Lesson20-DE-RR.mp4&quot;,&quot;is_external&quot;:&quot;&quot;,&quot;nofollow&quot;:&quot;&quot;,&quot;custom_attributes&quot;:&quot;&quot;},&quot;inner_tab_content_1&quot;:null,&quot;inner_tab_content_2&quot;:null,&quot;_id&quot;:&quot;32e4bc6&quot;,&quot;hosted_url&quot;:null,&quot;section_html_tag&quot;:null,&quot;video_html_tag&quot;:&quot;h4&quot;,&quot;duration&quot;:&quot;&quot;,&quot;inner_tab_is_content_visible&quot;:&quot;&quot;},{&quot;title&quot;:&quot;21 - 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Augmented Matrix And Row Ops\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">01 - Augmented Matrix And Row Ops<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1445\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"5\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1445\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"02 - Parametric Vector Form\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">02 - Parametric Vector Form<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1446\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"6\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1446\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"03 - Linear Combinations\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">03 - Linear Combinations<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Operations<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1448\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"8\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1448\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"04 - Elementary Matrices, LU, Inverses\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">04 - Elementary Matrices, LU, Inverses<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-1449\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"9\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-1449\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"05 - Determinants and Properties\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">05 - Determinants and Properties<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14410\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"10\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14410\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"06 - Linearly Dependence and RREF Review\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">06 - Linearly Dependence and RREF Review<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Basis and Vector Spaces<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14412\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"12\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14412\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"07 - Vector Space Intro [Exam Review]\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">07 - Vector Space Intro [Exam Review]<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14413\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"13\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14413\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"08 - Basis, Null Space, Column Space\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">08 - Basis, Null Space, Column Space<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14414\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"14\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14414\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"09 - Basis And Linearly Independent [Review]\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">09 - Basis And Linearly Independent [Review]<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14415\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"15\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14415\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"10 - Basis and Change of Basis\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">10 - Basis and Change of Basis<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Projections And Subspaces<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14417\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"17\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14417\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"11 - Projection, Least Squares, Change of Basis\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">11 - Projection, Least Squares, Change of Basis<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14418\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"18\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14418\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"12 - Advanced Subspaces\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">12 - Advanced Subspaces<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14419\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"19\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14419\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"13 - Basis Vectors, Rank, Nullity\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">13 - Basis Vectors, Rank, Nullity<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14420\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"20\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14420\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"14 - Transition Matrices\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">14 - Transition Matrices<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Orthogonal Vectors<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14422\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"22\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14422\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"15 - Orthogonal Vectors, Projection, Gram-Schmidt\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">15 - Orthogonal Vectors, Projection, Gram-Schmidt<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14423\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"23\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14423\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"16 - Gram Schmidt Process\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">16 - Gram Schmidt Process<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h3 class=\"e-section-title\">Eigenvalues And Eigenvectors<\/h3>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14425\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"25\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14425\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"17 - Eigenvalues\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">17 - Eigenvalues<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14426\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"26\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14426\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"18 - QR Factorization And Eigenvalues\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">18 - QR Factorization And Eigenvalues<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14427\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"27\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14427\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"19 - Diagonalization\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">19 - Diagonalization<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14428\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"28\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14428\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"20 - Differential Equations And Recursive Relationships\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">20 - Differential Equations And Recursive Relationships<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-title-14429\" class=\"e-tab-title e-tab-desktop-title\" aria-selected=\"false\" data-tab=\"29\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-tab-content-14429\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"e-tab-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/2023\/04\/OMT-MacbookPro.png\" alt=\"21 - SVD\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-play\"><i aria-hidden=\"true\" class=\"fas fa-play-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"icon-watched\"><i aria-hidden=\"true\" class=\"fas fa-check-circle\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"e-tab-title-text\">\n\t\t\t\t\t\t\t\t\t\t\t<a tabindex=\"0\">21 - SVD<\/a>\n\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"shadow shadow-top\" aria-hidden=\"true\"><\/div>\n\t\t\t\t\t\t<div class=\"shadow shadow-bottom\" aria-hidden=\"true\"><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\n\t\t\t\t<div class=\"e-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1441\" class=\"e-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1441\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Spring 2023  [Accelerated]\" data-video-duration=\"\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1442\" class=\"e-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1442\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/OMT-LinearAlgebra-Chris[2023].mp4\" data-video-type=\"hosted\" data-video-title=\"Spring 2023  [Accelerated]\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1443\" class=\"e-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1443\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Basics\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1444\" class=\"e-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1444\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson01-AugmentedMatrixRowOps.mp4\" data-video-type=\"hosted\" data-video-title=\"01 - Augmented Matrix And Row Ops\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1445\" class=\"e-tab-content elementor-clearfix\" data-tab=\"5\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1445\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson02-ParametricVectorForm.mp4\" data-video-type=\"hosted\" data-video-title=\"02 - Parametric Vector Form\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1446\" class=\"e-tab-content elementor-clearfix\" data-tab=\"6\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1446\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson03-LinearComb.mp4\" data-video-type=\"hosted\" data-video-title=\"03 - Linear Combinations\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1447\" class=\"e-tab-content elementor-clearfix\" data-tab=\"7\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1447\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Operations\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1448\" class=\"e-tab-content elementor-clearfix\" data-tab=\"8\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1448\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson04-EMatrixLUInverse.mp4\" data-video-type=\"hosted\" data-video-title=\"04 - Elementary Matrices, LU, Inverses\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-1449\" class=\"e-tab-content elementor-clearfix\" data-tab=\"9\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-1449\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson05-Determinants.mp4\" data-video-type=\"hosted\" data-video-title=\"05 - Determinants and Properties\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14410\" class=\"e-tab-content elementor-clearfix\" data-tab=\"10\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14410\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson06-LinDepRREF.mp4\" data-video-type=\"hosted\" data-video-title=\"06 - Linearly Dependence and RREF Review\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14411\" class=\"e-tab-content elementor-clearfix\" data-tab=\"11\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14411\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Basis and Vector Spaces\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14412\" class=\"e-tab-content elementor-clearfix\" data-tab=\"12\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14412\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson07-VectorSpace[Intro].mp4\" data-video-type=\"hosted\" data-video-title=\"07 - Vector Space Intro [Exam Review]\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14413\" class=\"e-tab-content elementor-clearfix\" data-tab=\"13\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14413\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson08-BasisNullColumn.mp4\" data-video-type=\"hosted\" data-video-title=\"08 - Basis, Null Space, Column Space\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14414\" class=\"e-tab-content elementor-clearfix\" data-tab=\"14\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14414\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson09-BasisLinDep.mp4\" data-video-type=\"hosted\" data-video-title=\"09 - Basis And Linearly Independent [Review]\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14415\" class=\"e-tab-content elementor-clearfix\" data-tab=\"15\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14415\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson10-ChangeBasis.mp4\" data-video-type=\"hosted\" data-video-title=\"10 - Basis and Change of Basis\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14416\" class=\"e-tab-content elementor-clearfix\" data-tab=\"16\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14416\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Projections And Subspaces\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14417\" class=\"e-tab-content elementor-clearfix\" data-tab=\"17\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14417\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson11-ProjLeastSQChangeBasis.mp4\" data-video-type=\"hosted\" data-video-title=\"11 - Projection, Least Squares, Change of Basis\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14418\" class=\"e-tab-content elementor-clearfix\" data-tab=\"18\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14418\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson12-AdvancedSubspaces.mp4\" data-video-type=\"hosted\" data-video-title=\"12 - Advanced Subspaces\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14419\" class=\"e-tab-content elementor-clearfix\" data-tab=\"19\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14419\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson13-BasisVectorsANDRankNullity.mp4\" data-video-type=\"hosted\" data-video-title=\"13 - Basis Vectors, Rank, Nullity\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14420\" class=\"e-tab-content elementor-clearfix\" data-tab=\"20\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14420\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson14-Transition Matrices.mp4\" data-video-type=\"hosted\" data-video-title=\"14 - Transition Matrices\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14421\" class=\"e-tab-content elementor-clearfix\" data-tab=\"21\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14421\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Orthogonal Vectors\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14422\" class=\"e-tab-content elementor-clearfix\" data-tab=\"22\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14422\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson15-OrthogonalProjGS[ExamReview].mp4\" data-video-type=\"hosted\" data-video-title=\"15 - Orthogonal Vectors, Projection, Gram-Schmidt\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14423\" class=\"e-tab-content elementor-clearfix\" data-tab=\"23\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14423\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson16-GramSchmidtProcess.mp4\" data-video-type=\"hosted\" data-video-title=\"16 - Gram Schmidt Process\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14424\" class=\"e-tab-content elementor-clearfix\" data-tab=\"24\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14424\" tabindex=\"0\" data-video-url=\"\" data-video-type=\"section\" data-video-title=\"Eigenvalues And Eigenvectors\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14425\" class=\"e-tab-content elementor-clearfix\" data-tab=\"25\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14425\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson17-Eigenvalues.mp4\" data-video-type=\"hosted\" data-video-title=\"17 - Eigenvalues\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14426\" class=\"e-tab-content elementor-clearfix\" data-tab=\"26\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14426\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson18-QR-Eigenvalues.mp4\" data-video-type=\"hosted\" data-video-title=\"18 - QR Factorization And Eigenvalues\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14427\" class=\"e-tab-content elementor-clearfix\" data-tab=\"27\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14427\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson19-Diagonalization.mp4\" data-video-type=\"hosted\" data-video-title=\"19 - Diagonalization\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14428\" class=\"e-tab-content elementor-clearfix\" data-tab=\"28\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14428\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson20-DE-RR.mp4\" data-video-type=\"hosted\" data-video-title=\"20 - Differential Equations And Recursive Relationships\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div id=\"e-tab-content-14429\" class=\"e-tab-content elementor-clearfix\" data-tab=\"29\" role=\"tabpanel\" aria-labelledby=\"e-tab-title-14429\" tabindex=\"0\" data-video-url=\"https:\/\/onlinemathtutor.co\/wp-content\/uploads\/Virtual-Lessons\/LinearAlgebra\/Chris[SP23]\/Lesson21-SVD.mp4\" data-video-type=\"hosted\" data-video-title=\"21 - SVD\" data-video-duration=\"\" hidden=\"hidden\">\n\t\t\t\t\t\t\t<div><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\n\t\t\t<div class=\"e-tabs-inner-tabs\" >\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4b0f56a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4b0f56a\" data-element_type=\"section\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-49a13a2\" data-id=\"49a13a2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9b081ed elementor-widget elementor-widget-heading\" data-id=\"9b081ed\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Stop Riding the Curve \nand Start Setting the Curve<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-04673e5 elementor-widget elementor-widget-heading\" data-id=\"04673e5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Master Your Linear Algebra Studies<br>\nLearn How To Earn Top Marks<br>\nHelp Is Just One Click Away<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c8a664c elementor-align-center elementor-widget elementor-widget-button\" data-id=\"c8a664c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/calendly.com\/maththought\/student-success-omt\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Schedule Your Strategy Session<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Linear Algebra Conversations with Chris About This Course\u200b Click Here to learn more about course. [Trial Session] Lesson19 &#8211; Diagonalization &#8211; [Click Here] Enroll Today And Get Full Access Lesson01 &#8211; Augmented Matrix and Row Operations Lesson02 &#8211; Parametric Vector <a href=\"https:\/\/onlinemathtutor.co\/course-content\/linear-algebra-resources\/linear-algebra-videos\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":27992,"parent":28443,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"class_list":["post-28408","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Linear Algebra - [Videos] | Online Math Tutoring LLC | Expert Math Tutor Near Me<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/onlinemathtutor.co\/course-content\/linear-algebra-resources\/linear-algebra-videos\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Linear Algebra - [Videos] | Online Math Tutoring LLC | Expert Math Tutor Near Me\" \/>\n<meta property=\"og:description\" content=\"Linear Algebra Conversations with Chris About This Course\u200b Click Here to learn more about course. 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