[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"channel-series-mit-ocw-18-06-linear-algebra":3,"channel-library-index":235},{"channel":4,"series":9,"stats":17,"episodes":21},{"slug":5,"title":6,"author":7,"platform_channel_id":8},"mit-ocw","MIT OpenCourseWare","MIT","UCEBb1b_L6zDS3xTUrIALZOw",{"slug":10,"title":11,"short_title":11,"description":12,"source":13,"sort_order":14,"index":14,"total_series":15,"source_playlist_id":16},"18-06-linear-algebra","18.06 Linear Algebra","Gilbert Strang's course, the most-watched on the channel: elimination, the four subspaces, projections, determinants, eigenvalues and the SVD. Spring 2005.","curated",6,10,"PLE7DDD91010BC51F8",{"count":18,"transcribed":19,"duration_seconds":19,"view_count":19,"chapters":19,"first_published_at":20,"last_published_at":20},36,0,null,[22,28,34,40,46,52,57,63,69,75,80,86,92,98,104,110,116,122,128,134,140,146,152,158,164,170,176,182,188,194,200,206,212,218,224,230],{"position":23,"platform_video_id":24,"episode_label":20,"display_title":25,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":27},1,"7UJ4CFRGd-U","An Interview with Gilbert Strang on Teaching Linear Algebra",false,[],{"position":29,"platform_video_id":30,"episode_label":31,"display_title":32,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":33},2,"J7DzL2_Na80","Lec 1","The Geometry of Linear Equations",[],{"position":35,"platform_video_id":36,"episode_label":37,"display_title":38,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":39},3,"QVKj3LADCnA","Lec 2","Elimination with Matrices",[],{"position":41,"platform_video_id":42,"episode_label":43,"display_title":44,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":45},4,"FX4C-JpTFgY","Lec 3","Multiplication and Inverse Matrices",[],{"position":47,"platform_video_id":48,"episode_label":49,"display_title":50,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":51},5,"MsIvs_6vC38","Lec 4","Factorization into A = LU",[],{"position":14,"platform_video_id":53,"episode_label":54,"display_title":55,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":56},"JibVXBElKL0","Lec 5","Transposes, Permutations, Spaces R^n",[],{"position":58,"platform_video_id":59,"episode_label":60,"display_title":61,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":62},7,"8o5Cmfpeo6g","Lec 6","Column Space and Nullspace",[],{"position":64,"platform_video_id":65,"episode_label":66,"display_title":67,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":68},8,"VqP2tREMvt0","Lec 7","Solving Ax = 0: Pivot Variables, Special Solutions",[],{"position":70,"platform_video_id":71,"episode_label":72,"display_title":73,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":74},9,"9Q1q7s1jTzU","Lec 8","Solving Ax = b: Row Reduced Form R",[],{"position":15,"platform_video_id":76,"episode_label":77,"display_title":78,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":79},"yjBerM5jWsc","Lec 9","Independence, Basis, and Dimension",[],{"position":81,"platform_video_id":82,"episode_label":83,"display_title":84,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":85},11,"nHlE7EgJFds","Lec 10","The Four Fundamental Subspaces",[],{"position":87,"platform_video_id":88,"episode_label":89,"display_title":90,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":91},12,"2IdtqGM6KWU","Lec 11","Matrix Spaces; Rank 1; Small World Graphs",[],{"position":93,"platform_video_id":94,"episode_label":95,"display_title":96,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":97},13,"6-wh6yvk6uc","Lec 12","Graphs, Networks, Incidence Matrices",[],{"position":99,"platform_video_id":100,"episode_label":101,"display_title":102,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":103},14,"l88D4r74gtM","Lec 13","Quiz 1 Review",[],{"position":105,"platform_video_id":106,"episode_label":107,"display_title":108,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":109},15,"YzZUIYRCE38","Lec 14","Orthogonal Vectors and Subspaces",[],{"position":111,"platform_video_id":112,"episode_label":113,"display_title":114,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":115},16,"Y_Ac6KiQ1t0","Lec 15","Projections onto Subspaces",[],{"position":117,"platform_video_id":118,"episode_label":119,"display_title":120,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":121},17,"osh80YCg_GM","Lec 16","Projection Matrices and Least Squares",[],{"position":123,"platform_video_id":124,"episode_label":125,"display_title":126,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":127},18,"0MtwqhIwdrI","Lec 17","Orthogonal Matrices and Gram-Schmidt",[],{"position":129,"platform_video_id":130,"episode_label":131,"display_title":132,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":133},19,"srxexLishgY","Lec 18","Properties of Determinants",[],{"position":135,"platform_video_id":136,"episode_label":137,"display_title":138,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":139},20,"23LLB9mNJvc","Lec 19","Determinant Formulas and Cofactors",[],{"position":141,"platform_video_id":142,"episode_label":143,"display_title":144,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":145},21,"QNpj-gOXW9M","Lec 20","Cramer's Rule, Inverse Matrix, and Volume",[],{"position":147,"platform_video_id":148,"episode_label":149,"display_title":150,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":151},22,"cdZnhQjJu4I","Lec 21","Eigenvalues and Eigenvectors",[],{"position":153,"platform_video_id":154,"episode_label":155,"display_title":156,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":157},23,"13r9QY6cmjc","Lec 22","Diagonalization and Powers of A",[],{"position":159,"platform_video_id":160,"episode_label":161,"display_title":162,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":163},24,"IZqwi0wJovM","Lec 23","Differential Equations and exp(At)",[],{"position":165,"platform_video_id":166,"episode_label":167,"display_title":168,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":169},25,"lGGDIGizcQ0","Lec 24","Markov Matrices; Fourier Series",[],{"position":171,"platform_video_id":172,"episode_label":173,"display_title":174,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":175},26,"QuZL5IKpO_U","Lec 24b","Quiz 2 Review",[],{"position":177,"platform_video_id":178,"episode_label":179,"display_title":180,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":181},27,"UCc9q_cAhho","Lec 25","Symmetric Matrices and Positive Definiteness",[],{"position":183,"platform_video_id":184,"episode_label":185,"display_title":186,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":187},28,"M0Sa8fLOajA","Lec 26","Complex Matrices; Fast Fourier Transform",[],{"position":189,"platform_video_id":190,"episode_label":191,"display_title":192,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":193},29,"vF7eyJ2g3kU","Lec 27","Positive Definite Matrices and Minima",[],{"position":195,"platform_video_id":196,"episode_label":197,"display_title":198,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":199},30,"TSdXJw83kyA","Lec 28","Similar Matrices and Jordan Form",[],{"position":201,"platform_video_id":202,"episode_label":203,"display_title":204,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":205},31,"TX_vooSnhm8","Lec 29","Singular Value Decomposition",[],{"position":207,"platform_video_id":208,"episode_label":209,"display_title":210,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":211},32,"Ts3o2I8_Mxc","Lec 30","Linear Transformations and Their Matrices",[],{"position":213,"platform_video_id":214,"episode_label":215,"display_title":216,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":217},33,"0h43aV4aH7I","Lec 31","Change of Basis; Image Compression",[],{"position":219,"platform_video_id":220,"episode_label":221,"display_title":222,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":223},34,"HgC1l_6ySkc","Lec 32","Quiz 3 Review",[],{"position":225,"platform_video_id":226,"episode_label":227,"display_title":228,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":229},35,"Go2aLo7ZOlU","Lec 33","Left and Right Inverses; Pseudoinverse",[],{"position":18,"platform_video_id":231,"episode_label":232,"display_title":233,"place":20,"title":20,"transcribed":26,"transcribed_at":20,"published_at":20,"duration":20,"view_count":20,"thumbnail_url":20,"description":20,"chapter_count":19,"chapters":234},"RWvi4Vx4CDc","Lec 34","Final Course Review",[],[236,279],{"slug":5,"title":6,"href":237,"seriesCount":15,"videos":238,"transcribed":35,"series":239},"\u002Fchannel\u002Fmit-ocw",315,[240,245,249,253,257,261,263,267,271,275],{"slug":241,"title":242,"href":243,"count":244,"transcribed":19},"6-0001-python","6.0001 Introduction to Computer Science and Programming in Python","\u002Fchannel\u002Fmit-ocw\u002F6-0001-python",38,{"slug":246,"title":247,"href":248,"count":207,"transcribed":23},"6-006-algorithms","6.006 Introduction to Algorithms","\u002Fchannel\u002Fmit-ocw\u002F6-006-algorithms",{"slug":250,"title":251,"href":252,"count":219,"transcribed":19},"6-046j-algorithm-design","6.046J Design and Analysis of Algorithms","\u002Fchannel\u002Fmit-ocw\u002F6-046j-algorithm-design",{"slug":254,"title":255,"href":256,"count":195,"transcribed":19},"6-034-ai","6.034 Artificial Intelligence","\u002Fchannel\u002Fmit-ocw\u002F6-034-ai",{"slug":258,"title":259,"href":260,"count":225,"transcribed":19},"18-01-calculus","18.01 Single Variable Calculus","\u002Fchannel\u002Fmit-ocw\u002F18-01-calculus",{"slug":10,"title":11,"href":262,"count":18,"transcribed":19},"\u002Fchannel\u002Fmit-ocw\u002F18-06-linear-algebra",{"slug":264,"title":265,"href":266,"count":165,"transcribed":23},"8-04-quantum-physics","8.04 Quantum Physics I","\u002Fchannel\u002Fmit-ocw\u002F8-04-quantum-physics",{"slug":268,"title":269,"href":270,"count":225,"transcribed":19},"7-012-biology","7.012 Introduction to Biology","\u002Fchannel\u002Fmit-ocw\u002F7-012-biology",{"slug":272,"title":273,"href":274,"count":171,"transcribed":23},"14-01-microeconomics","14.01 Principles of Microeconomics","\u002Fchannel\u002Fmit-ocw\u002F14-01-microeconomics",{"slug":276,"title":277,"href":278,"count":159,"transcribed":19},"9-00sc-psychology","9.00SC Introduction to Psychology","\u002Fchannel\u002Fmit-ocw\u002F9-00sc-psychology",{"slug":280,"title":281,"href":282,"seriesCount":15,"videos":283,"transcribed":284,"series":285},"predictive-history","Predictive History","\u002Fchannel\u002Fpredictive-history",178,40,[286,291,295,299,303,307,311,315,319,323],{"slug":287,"title":288,"href":289,"count":290,"transcribed":58},"civilization","The Story of Civilization","\u002Fchannel\u002Fpredictive-history\u002Fcivilization",61,{"slug":292,"title":293,"href":294,"count":183,"transcribed":47},"secret-history","Secret History","\u002Fchannel\u002Fpredictive-history\u002Fsecret-history",{"slug":296,"title":297,"href":298,"count":189,"transcribed":141},"game-theory","Game Theory","\u002Fchannel\u002Fpredictive-history\u002Fgame-theory",{"slug":300,"title":301,"href":302,"count":93,"transcribed":29},"great-books","Great Books","\u002Fchannel\u002Fpredictive-history\u002Fgreat-books",{"slug":304,"title":305,"href":306,"count":87,"transcribed":19},"dante","Dante Seminar (Beijing, June 2026)","\u002Fchannel\u002Fpredictive-history\u002Fdante",{"slug":308,"title":309,"href":310,"count":87,"transcribed":19},"geo-strategy","Geo-Strategy","\u002Fchannel\u002Fpredictive-history\u002Fgeo-strategy",{"slug":312,"title":313,"href":314,"count":64,"transcribed":23},"geo-strategy-update","Geo-Strategy Update","\u002Fchannel\u002Fpredictive-history\u002Fgeo-strategy-update",{"slug":316,"title":317,"href":318,"count":58,"transcribed":35},"global-meet-up","Global Meet-Up","\u002Fchannel\u002Fpredictive-history\u002Fglobal-meet-up",{"slug":320,"title":321,"href":322,"count":35,"transcribed":19},"emergency-discussion","Emergency Discussion","\u002Fchannel\u002Fpredictive-history\u002Femergency-discussion",{"slug":324,"title":325,"href":326,"count":47,"transcribed":23},"livestreams","Livestreams and Extras","\u002Fchannel\u002Fpredictive-history\u002Flivestreams"]