Lecture 24 Orthogonal Projection Orthonormal Set Orthogonal Decomposition Theorem 20201210
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=lBR-BR3hz1Y
This Lecture 24 of the Linear Algebra course by Dr. Nasir Touheed. The lecture orthogonal projection, orthonormal set, Theorems on orthogonal sets, orthonormal sets, theorems on orthonormal sets, orthogonal matrix, The orthogonal decomposition theorem, Geometric description of orthogonal projections, The best Approximation Theorem, Closet point • The lecture sides are from Dr. David E. Clay Book.","styleRuns":[{"startIndex":0,"length":398,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":398,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CM0BELsvGAIiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2xCUi1CUjNoejFZGAYyJSIRIgtsQlItQlIzaHoxWTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CM0BELsvGAIiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMwBELovIhMI1sbErfWxigMVX216BR311gGD"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"Uck6dfiKbHM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Uck6dfiKbHM/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAbq0xEiKBD1DcyE4tSZVvCPYBF5A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Uck6dfiKbHM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB2jGf7PU34opvdtvYCEpnQ3Vw5rQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Tutorial-XI: Coercive Convex functions | Global Minimizers door Atiq Ali 796 weergaven 3 jaar geleden 1 uur en 4 minuten"}},"simpleText":"Tutorial-XI: Coercive Convex functions | Global Minimizers"},"longBylineText":{"runs":[{"text":"Atiq Ali","navigationEndpoint":{"clickTrackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@atiqali","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCAqq3dkyxxGno3c0AOlk19A","canonicalBaseUrl":"/@atiqali"}}}]},"publishedTimeText":{"simpleText":"3 jaar geleden"},"viewCountText":{"simpleText":"796 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 uur, 4 minuten en 5 seconden"}},"simpleText":"1:04:05"},"navigationEndpoint":{"clickTrackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWRI1p6H79HAn4qUAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Uck6dfiKbHM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Uck6dfiKbHM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-4g5ednsz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=51c93a75f88a6c73 ip=217.12.208.230 mt=1734543611 oweuc= pxtags=Cg4KAnR4Egg1MTM0MDIyNg rxtags=Cg4KAnR4Egg1MTM0MDIyNg%2CCg4KAnR4Egg1MTM0MDY1Nw"}}}}},"shortBylineText":{"runs":[{"text":"Atiq Ali","navigationEndpoint":{"clickTrackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@atiqali","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCAqq3dkyxxGno3c0AOlk19A","canonicalBaseUrl":"/@atiqali"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nQvokJs5vMV7Sz-Z8CtIp1m0pv_b5N-D34uTEZsu5nBA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYNA89ipxN_OzuRR","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"796 weergaven"}},"simpleText":"796 weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMoBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMoBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Uck6dfiKbHM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMoBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Uck6dfiKbHM"],"params":"CAQ%3D"}},"videoIds":["Uck6dfiKbHM"]}},{"clickTrackingParams":"CMoBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CMsBELlqIhMI1sbErfWxigMVX216BR311gGD"}},"popupType":"TOAST"}}]}},"trackingParams":"CMoBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMkBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD","offlineVideoEndpoint":{"videoId":"Uck6dfiKbHM","onAddCommand":{"clickTrackingParams":"CMkBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD","getDownloadActionCommand":{"videoId":"Uck6dfiKbHM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMkBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtVY2s2ZGZpS2JITQ%3D%3D","commands":[{"clickTrackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMgBEI5iIhMI1sbErfWxigMVX216BR311gGD","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","hasSeparator":true}}],"trackingParams":"CMUBEKQwGAAiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","accessibility":{"accessibilityData":{"label":"Actiemenu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 uur, 4 minuten en 5 seconden"}},"simpleText":"1:04:05"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CMcBEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Uck6dfiKbHM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMcBEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Uck6dfiKbHM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CMcBEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CMYBEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Uck6dfiKbHM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Uck6dfiKbHM"],"params":"CAQ%3D"}},"videoIds":["Uck6dfiKbHM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CMYBEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Tutorial-XI: Coercive Convex functions | Global Minimizers - 1 uur en 4 minuten - Naar kanaal gaan - Atiq Ali - 796 weergaven - 3 jaar geleden - video afspelen"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"HDhYAZdWuA8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/HDhYAZdWuA8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDs9YlAJuBKlSH-Gie9i9WR_I-dig","width":168,"height":94},{"url":"https://i.ytimg.com/vi/HDhYAZdWuA8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBSTfo8SQQBtKCp989Zn9Uiiy4i-w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Tutorial-VIII (Part 1) | Complementary Slackness Theorem door Atiq Ali 288 weergaven 3 jaar geleden 39 minuten"}},"simpleText":"Tutorial-VIII (Part 1) | Complementary Slackness Theorem"},"longBylineText":{"runs":[{"text":"Atiq Ali","navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@atiqali","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCAqq3dkyxxGno3c0AOlk19A","canonicalBaseUrl":"/@atiqali"}}}]},"publishedTimeText":{"simpleText":"3 jaar geleden"},"viewCountText":{"simpleText":"288 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"39 minuten en 23 seconden"}},"simpleText":"39:23"},"navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWRI1p6H79HAn4qUAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=HDhYAZdWuA8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"HDhYAZdWuA8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-4g5ednkl.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=1c3858019756b80f ip=217.12.208.230 mt=1734543611 oweuc= pxtags=Cg4KAnR4Egg1MTM0MDIyNg rxtags=Cg4KAnR4Egg1MTM0MDIyNg%2CCg4KAnR4Egg1MTM0MDY1Nw"}}}}},"shortBylineText":{"runs":[{"text":"Atiq Ali","navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYMyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@atiqali","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCAqq3dkyxxGno3c0AOlk19A","canonicalBaseUrl":"/@atiqali"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nQvokJs5vMV7Sz-Z8CtIp1m0pv_b5N-D34uTEZsu5nBA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYNAj_DaupmAlpwc","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"288 weergaven"}},"simpleText":"288 weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMMBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMMBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"HDhYAZdWuA8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMMBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HDhYAZdWuA8"],"params":"CAQ%3D"}},"videoIds":["HDhYAZdWuA8"]}},{"clickTrackingParams":"CMMBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CMQBELlqIhMI1sbErfWxigMVX216BR311gGD"}},"popupType":"TOAST"}}]}},"trackingParams":"CMMBEP6YBBgFIhMI1sbErfWxigMVX216BR311gGD"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMIBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD","offlineVideoEndpoint":{"videoId":"HDhYAZdWuA8","onAddCommand":{"clickTrackingParams":"CMIBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD","getDownloadActionCommand":{"videoId":"HDhYAZdWuA8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMIBENGqBRgGIhMI1sbErfWxigMVX216BR311gGD"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtIRGhZQVpkV3VBOA%3D%3D","commands":[{"clickTrackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMEBEI5iIhMI1sbErfWxigMVX216BR311gGD","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","hasSeparator":true}}],"trackingParams":"CL4BEKQwGAEiEwjWxsSt9bGKAxVfbXoFHfXWAYM=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"39 minuten en 23 seconden"}},"simpleText":"39:23"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CMABEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"HDhYAZdWuA8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMABEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"HDhYAZdWuA8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CMABEPnnAxgBIhMI1sbErfWxigMVX216BR311gGD"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL8BEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"HDhYAZdWuA8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL8BEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HDhYAZdWuA8"],"params":"CAQ%3D"}},"videoIds":["HDhYAZdWuA8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CL8BEMfsBBgCIhMI1sbErfWxigMVX216BR311gGD"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Tutorial-VIII (Part 1) | Complementary Slackness Theorem - 39 minuten - Naar kanaal gaan - Atiq Ali - 288 weergaven - 3 jaar geleden - video afspelen"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/I1Bzbww4bGU/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAdr_6uqGon7bqpzwf6aqO68VdkLQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/I1Bzbww4bGU/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLChH4G0xRN24elQSrSRmBBQFIHWyQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"26 video's","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2566165,"darkTheme":2566165}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Alles afspelen","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4013857,"darkTheme":4013857}}},"stackColor":{"lightTheme":12238725,"darkTheme":9014384}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Linear Algebra by Dr. Nasir Touheed (Tue/Thrus Slot)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Atiq Ali
#############################