Exercice corrigé Calcul de la matrice de transition expAt

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=aH1HBYAkOQE

Dans cet exercice nous nous intéressons au calcul de la matrice de transition. Pour cela, nous prenons la même matrice que celle de la vidéo précédente, et nous appliquons la méthode de la transformation de Laplace pour calculer exp(At).","styleRuns":[{"startIndex":0,"length":237,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":237,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CL4BELsvGAIiEwieofzu98iLAxUeanoFHRrLCuU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2FIMUhCWUFrT1FFGAYyJSIRIgthSDFIQllBa09RRTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CL4BELsvGAIiEwieofzu98iLAxUeanoFHRrLCuU=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL0BELovIhMInqH87vfIiwMVHmp6BR0aywrl"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"5e_UK9qRnlw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/5e_UK9qRnlw/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCXsFwoO9jn8TB0ZM_AM-uz9pK55Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/5e_UK9qRnlw/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAsLAdHIc55X9xCB4o8aCy_U_S_yA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Exercice corrigé. Calcul de la matrice de transition : exp(At) by El Houssaine Tissir 10,622 views 2 years ago 9 minutes, 11 seconds"}},"simpleText":"Exercice corrigé. Calcul de la matrice de transition : exp(At)"},"longBylineText":{"runs":[{"text":"El Houssaine Tissir","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@elhoussainetissir4528","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxVorgias_2EsDttRhoWexg","canonicalBaseUrl":"/@elhoussainetissir4528"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"10,622 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 11 seconds"}},"simpleText":"9:11"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWRIgfKQgdjg0b5omgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=5e_UK9qRnlw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"5e_UK9qRnlw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.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=e5efd42bda919e5c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=888750 mt=1739734131 oweuc= pxtags=Cg4KAnR4Egg1MTM4OTU4MA rxtags=Cg4KAnR4Egg1MTM4OTU4MA%2CCg4KAnR4Egg1MTM4OTU4MQ"}}}}},"shortBylineText":{"runs":[{"text":"El Houssaine Tissir","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@elhoussainetissir4528","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxVorgias_2EsDttRhoWexg","canonicalBaseUrl":"/@elhoussainetissir4528"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kCKd-FBTb8FovlVyZeuE1tRR2GK1CXWVpWnFDcpV35HA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuVA3LzG1L2F9fflAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"10K views"}},"simpleText":"10K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5e_UK9qRnlw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5e_UK9qRnlw"],"params":"CAQ%3D"}},"videoIds":["5e_UK9qRnlw"],"videoCommand":{"clickTrackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=5e_UK9qRnlw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"5e_UK9qRnlw","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.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=e5efd42bda919e5c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=888750 mt=1739734131 oweuc= pxtags=Cg4KAnR4Egg1MTM4OTU4MA rxtags=Cg4KAnR4Egg1MTM4OTU4MA%2CCg4KAnR4Egg1MTM4OTU4MQ"}}}}}}},{"clickTrackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMInqH87vfIiwMVHmp6BR0aywrl"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl","offlineVideoEndpoint":{"videoId":"5e_UK9qRnlw","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl","getDownloadActionCommand":{"videoId":"5e_UK9qRnlw","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs1ZV9VSzlxUm5sdw%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMInqH87vfIiwMVHmp6BR0aywrl","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuU=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAAiEwieofzu98iLAxUeanoFHRrLCuU=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 11 seconds"}},"simpleText":"9:11"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"5e_UK9qRnlw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"5e_UK9qRnlw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"5e_UK9qRnlw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["5e_UK9qRnlw"],"params":"CAQ%3D"}},"videoIds":["5e_UK9qRnlw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Exercice corrigé. Calcul de la matrice de transition : exp(At) - 9 minutes, 11 seconds - Go to channel - El Houssaine Tissir - 10K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"0dNWGaQWMX4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/0dNWGaQWMX4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLASw9-1-9qRH9_w5VVqi9F5FIf3_Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/0dNWGaQWMX4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB_SEjiKkcuEhd2rMrKeVdgZz4_aw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Exercice corrigé. Représentation d'état d'un système discret by El Houssaine Tissir 6,173 views 2 years ago 16 minutes"}},"simpleText":"Exercice corrigé. Représentation d'état d'un système discret"},"longBylineText":{"runs":[{"text":"El Houssaine Tissir","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@elhoussainetissir4528","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxVorgias_2EsDttRhoWexg","canonicalBaseUrl":"/@elhoussainetissir4528"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"6,173 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 6 seconds"}},"simpleText":"16:06"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWRIgfKQgdjg0b5omgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=0dNWGaQWMX4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"0dNWGaQWMX4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.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=d1d35619a416317e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=888750 mt=1739734131 oweuc= pxtags=Cg4KAnR4Egg1MTM4OTU4MA rxtags=Cg4KAnR4Egg1MTM4OTU4MA%2CCg4KAnR4Egg1MTM4OTU4MQ"}}}}},"shortBylineText":{"runs":[{"text":"El Houssaine Tissir","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@elhoussainetissir4528","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxVorgias_2EsDttRhoWexg","canonicalBaseUrl":"/@elhoussainetissir4528"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kCKd-FBTb8FovlVyZeuE1tRR2GK1CXWVpWnFDcpV35HA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuVA_uLYoJrD1enRAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"6.1K views"}},"simpleText":"6.1K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0dNWGaQWMX4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0dNWGaQWMX4"],"params":"CAQ%3D"}},"videoIds":["0dNWGaQWMX4"],"videoCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=0dNWGaQWMX4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"0dNWGaQWMX4","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.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=d1d35619a416317e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=888750 mt=1739734131 oweuc= pxtags=Cg4KAnR4Egg1MTM4OTU4MA rxtags=Cg4KAnR4Egg1MTM4OTU4MA%2CCg4KAnR4Egg1MTM4OTU4MQ"}}}}}}},{"clickTrackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMInqH87vfIiwMVHmp6BR0aywrl"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgFIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl","offlineVideoEndpoint":{"videoId":"0dNWGaQWMX4","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl","getDownloadActionCommand":{"videoId":"0dNWGaQWMX4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgGIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgswZE5XR2FRV01YNA%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMInqH87vfIiwMVHmp6BR0aywrl","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuU=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAEiEwieofzu98iLAxUeanoFHRrLCuU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 6 seconds"}},"simpleText":"16:06"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"0dNWGaQWMX4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"0dNWGaQWMX4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0dNWGaQWMX4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0dNWGaQWMX4"],"params":"CAQ%3D"}},"videoIds":["0dNWGaQWMX4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMInqH87vfIiwMVHmp6BR0aywrl"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Exercice corrigé. Représentation d'état d'un système discret - 16 minutes - Go to channel - El Houssaine Tissir - 6.1K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/ThZT4h3pdyM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBnZx8DGdt-TqF5tyC7viHvSVW8zA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ThZT4h3pdyM/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLB3HQFlvtjPAnDt71gWDVdo53ODyQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"11 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":336166,"darkTheme":336166}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":737868,"darkTheme":737868}}},"stackColor":{"lightTheme":7049881,"darkTheme":7374988}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Algèbre linéaire et multilinéaire"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Cmaths.h

#############################

New on site