DERSLineer CebirMühendislik Fakültesi KONU Matrisler ve Matris İşlemleriKısa ve oldukça özet

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ztFpyFISme0

Bu video; UZAKTAN ÖĞRETİM DOLAYISIYLA öğrencilerimden gelen sorulara cevap olabilmesi maksadıyla hazırlanmıştır. • Matrisler oldukça uzun bir konu aslında. 1-2 saatlik bir videoda matrisler hakkında her şeyi detayları ile anlatmak mümkün değil. 100 dakikalık bir sürede matrisler için bilinmesi elzem olan konuları derli toplu olarak anlatmaya çalıştım. Tabii ki DETERMİNANAT kavramını vermeden matrislerle yetinmek yine konuyu yarım bıraktığımız anlamına geliyor. Determinant konusunu anlattığımızda verilen bir matrisin tersinin var olup olmadığını ve varsa nasıl bulunacağını da anlatmış olacağız. Ayrıca determinant kavramı yardımıyla verilen ÖZDEĞER ve ÖZVEKTÖR kavramları ve LİNEER DENKLEM SİSTEMLERİnin çözümleri matrislerin en önemli kullanım yerleri olup bu konuları da vermedikçe (anlamadıkça) matrisler konusu tamamlanmış sayılmaz. İnşallah ileride bu konularda da videolar hazırlayıp yükleme fırsatını bulabilirsem, bu videolar izleyicilerine daha faydalı olacaktır. • Bu video, matrisler konusunu kitabî olmayan bir lisanla anlatıp, öğrencilerin kitaplarda yer alan konuları daha rahat anlamasını sağlama maksadıyla hazırlanmıştır. • İZLEYİCİLERİNE FAYDALI OLMASI TEMENNİSİYLE... • Basri ÇELİK","styleRuns":[{"startIndex":0,"length":1198,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":1198,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3p0RnB5RklTbWUwGAYyJSIRIgt6dEZweUZJU21lMDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"0DrBXDK4z5Y","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/0DrBXDK4z5Y/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGHIgRygyMA8= rs=AOn4CLAaNKEpFIMW6EI-Fnm_Qt61AkZ6HQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/0DrBXDK4z5Y/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhyIEcoMjAP rs=AOn4CLBBgu5sxBlRe2gTYhm2zjso_MDAdA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"MATRİS 1 - Şenol Hoca by ŞENOL HOCA 786,437 views 9 years ago 15 minutes"}},"simpleText":"MATRİS 1 - Şenol Hoca"},"longBylineText":{"runs":[{"text":"ŞENOL HOCA","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@senolhoca","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC1nmW5kw6nXnB_5Sv-zeCNQ","canonicalBaseUrl":"/@senolhoca"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"786,437 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 4 seconds"}},"simpleText":"15:04"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWRI7bPKkIW52ujOAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=0DrBXDK4z5Y","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"0DrBXDK4z5Y","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-nv47znee.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=d03ac15c32b8cf96 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=298750 mt=1739898335 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"ŞENOL HOCA","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@senolhoca","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC1nmW5kw6nXnB_5Sv-zeCNQ","canonicalBaseUrl":"/@senolhoca"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/Ih01x0qpDE4DKM9Qy0hDM9YyHXZbi08ruxmRQ2u7Pyz7kPtUQJ3mEW79Qc0CT1XxY1pA5sxW=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9RAlp_jlcOrsJ3QAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"786K views"}},"simpleText":"786K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgHIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgHIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0DrBXDK4z5Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgHIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0DrBXDK4z5Y"],"params":"CAQ%3D"}},"videoIds":["0DrBXDK4z5Y"]}},{"clickTrackingParams":"CMIBEP6YBBgHIhMI-JWa6dvNiwMVA296BR2UwB_U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMMBELlqIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgHIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgIIhMI-JWa6dvNiwMVA296BR2UwB_U","offlineVideoEndpoint":{"videoId":"0DrBXDK4z5Y","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgIIhMI-JWa6dvNiwMVA296BR2UwB_U","getDownloadActionCommand":{"videoId":"0DrBXDK4z5Y","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgIIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgswRHJCWERLNHo1WQ%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9Q=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMI-JWa6dvNiwMVA296BR2UwB_U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9Q=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 4 seconds"}},"simpleText":"15:04"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"0DrBXDK4z5Y","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"0DrBXDK4z5Y"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL8BEPnnAxgCIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgDIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgDIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"0DrBXDK4z5Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgDIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["0DrBXDK4z5Y"],"params":"CAQ%3D"}},"videoIds":["0DrBXDK4z5Y"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEMfsBBgDIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"MATRİS 1 - Şenol Hoca - 15 minutes - Go to channel - ŞENOL HOCA - 786K views - 9 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/0DrBXDK4z5Y/mqdefault_6s.webp?du=3000 sqp=CPzw0r0G rs=AOn4CLDAgFQRq5t8nwS4Dwg9FZsn4rVxEg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"LJ3WzHna3SM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/LJ3WzHna3SM/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDmXGsGs4lEbgEOh3-zChDjH5WR_g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/LJ3WzHna3SM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDwGRd37Yfxn1EO_M7QyE8kDo3tpw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lineer Cebir : Matrislerin Tersini Bulma (Elementer Satır İşlemleri Metodu) by BUders Boğaziçiliden Özel Ders 696,011 views 8 years ago 22 minutes"}},"simpleText":"Lineer Cebir : Matrislerin Tersini Bulma (Elementer Satır İşlemleri Metodu)"},"longBylineText":{"runs":[{"text":"BUders Boğaziçiliden Özel Ders","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Buders","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClKBd-4xFVodFmK3bZfJAAQ","canonicalBaseUrl":"/@Buders"}}}]},"publishedTimeText":{"simpleText":"8 years ago"},"viewCountText":{"simpleText":"696,011 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"22 minutes, 39 seconds"}},"simpleText":"22:39"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWRI7bPKkIW52ujOAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=LJ3WzHna3SM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"LJ3WzHna3SM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=2c9dd6cc79dadd23 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=721250 mt=1739898335 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"BUders Boğaziçiliden Özel Ders","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Buders","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClKBd-4xFVodFmK3bZfJAAQ","canonicalBaseUrl":"/@Buders"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nyk_z9y7hxIR9Dj-P5s4qd2C0GP1AaUJ07QU_2hBJ-1_s=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9RAo7rrzsfZ9c4s","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"696K views"}},"simpleText":"696K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"LJ3WzHna3SM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["LJ3WzHna3SM"],"params":"CAQ%3D"}},"videoIds":["LJ3WzHna3SM"]}},{"clickTrackingParams":"CLsBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U","offlineVideoEndpoint":{"videoId":"LJ3WzHna3SM","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U","getDownloadActionCommand":{"videoId":"LJ3WzHna3SM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtMSjNXekhuYTNTTQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9Q=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMI-JWa6dvNiwMVA296BR2UwB_U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9Q=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAEiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"22 minutes, 39 seconds"}},"simpleText":"22:39"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"LJ3WzHna3SM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"LJ3WzHna3SM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"LJ3WzHna3SM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["LJ3WzHna3SM"],"params":"CAQ%3D"}},"videoIds":["LJ3WzHna3SM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Lineer Cebir : Matrislerin Tersini Bulma (Elementer Satır İşlemleri Metodu) - 22 minutes - Go to channel - BUders Boğaziçiliden Özel Ders - 696K views - 8 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/LJ3WzHna3SM/mqdefault_6s.webp?du=3000 sqp=CMX90r0G rs=AOn4CLDncHnHMvLJaxxqz_Rt9ZgqF8elSQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"4EuPfFh1B6g","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/4EuPfFh1B6g/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCfSkxQWMoHvOFX_TmG2PtjfYRicg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4EuPfFh1B6g/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCxf_3MMCQIvLMZ4bwNipKbMQJKLw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Calculo II - Integral com potência de Seno e Cosseno: Parte 2 by Prof. Augusto Nogueira 37 views 2 weeks ago 19 minutes"}},"simpleText":"Calculo II - Integral com potência de Seno e Cosseno: Parte 2"},"longBylineText":{"runs":[{"text":"Prof. Augusto Nogueira","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@augustonogueira6406","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCWILyhbEEDRlkN9_7SPqbJQ","canonicalBaseUrl":"/@augustonogueira6406"}}}]},"publishedTimeText":{"simpleText":"2 weeks ago"},"viewCountText":{"simpleText":"37 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"19 minutes, 57 seconds"}},"simpleText":"19:57"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWRI7bPKkIW52ujOAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=4EuPfFh1B6g","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"4EuPfFh1B6g","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=e04b8f7c587507a8 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=721250 mt=1739898335 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Prof. Augusto Nogueira","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@augustonogueira6406","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCWILyhbEEDRlkN9_7SPqbJQ","canonicalBaseUrl":"/@augustonogueira6406"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/-tfS3N_XGIagYvr6vE3y3mPLjUatUodnYHHoX5d5rpk2hxAxZXZ5bik7JnfKCPh7POlw9Cii=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9RAqI_Uw8Xv46XgAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"37 views"}},"simpleText":"37 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4EuPfFh1B6g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4EuPfFh1B6g"],"params":"CAQ%3D"}},"videoIds":["4EuPfFh1B6g"]}},{"clickTrackingParams":"CLQBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgGIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U","offlineVideoEndpoint":{"videoId":"4EuPfFh1B6g","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U","getDownloadActionCommand":{"videoId":"4EuPfFh1B6g","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgHIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs0RXVQZkZoMUI2Zw%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMI-JWa6dvNiwMVA296BR2UwB_U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAIiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"19 minutes, 57 seconds"}},"simpleText":"19:57"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"4EuPfFh1B6g","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"4EuPfFh1B6g"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"4EuPfFh1B6g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["4EuPfFh1B6g"],"params":"CAQ%3D"}},"videoIds":["4EuPfFh1B6g"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Calculo II - Integral com potência de Seno e Cosseno: Parte 2 - 19 minutes - Go to channel - Prof. Augusto Nogueira - 37 views - 2 weeks ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/4EuPfFh1B6g/mqdefault_6s.webp?du=3000 sqp=CLjq0r0G rs=AOn4CLC7QYrvLWVf_Hlg-vinEIahHPIWWA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"jywtqiRrdD4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/jywtqiRrdD4/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AHUBoAC3AOKAgwIABABGGUgZShlMA8= rs=AOn4CLAD4Ieg17Uerj-TcyLQ2jJ7tOrIdw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/jywtqiRrdD4/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB1AaAAtwDigIMCAAQARhlIGUoZTAP rs=AOn4CLAsEC8_palSzArqsANmi77p-vqB_A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Matris Determinant soru çözümü 1 by mathworldBD 33,460 views 3 years ago 49 minutes"}},"simpleText":"Matris Determinant soru çözümü 1"},"longBylineText":{"runs":[{"text":"mathworldBD","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathworldBD","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzeeyL39ufxzL-naJcRT0_A","canonicalBaseUrl":"/@mathworldBD"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"33,460 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"49 minutes, 22 seconds"}},"simpleText":"49:22"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWRI7bPKkIW52ujOAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=jywtqiRrdD4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"jywtqiRrdD4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---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=8f2c2daa246b743e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=721250 mt=1739898335 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"mathworldBD","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@mathworldBD","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzeeyL39ufxzL-naJcRT0_A","canonicalBaseUrl":"/@mathworldBD"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/b4Qnxu_DO3kUW_V9ukMWOTd0lZwMQiG1kfLrx8H3FAPrlcgqIHVPciQZZa1MnTAdItXoZq50lA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9RAvuito6K1i5aPAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"33K views"}},"simpleText":"33K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jywtqiRrdD4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jywtqiRrdD4"],"params":"CAQ%3D"}},"videoIds":["jywtqiRrdD4"]}},{"clickTrackingParams":"CK0BEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U","offlineVideoEndpoint":{"videoId":"jywtqiRrdD4","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U","getDownloadActionCommand":{"videoId":"jywtqiRrdD4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqeXd0cWlScmRENA%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9Q=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMI-JWa6dvNiwMVA296BR2UwB_U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9Q=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAMiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"49 minutes, 22 seconds"}},"simpleText":"49:22"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"jywtqiRrdD4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"jywtqiRrdD4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jywtqiRrdD4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jywtqiRrdD4"],"params":"CAQ%3D"}},"videoIds":["jywtqiRrdD4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Matris Determinant soru çözümü 1 - 49 minutes - Go to channel - mathworldBD - 33K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"9kVUTW-hhWU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/9kVUTW-hhWU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBcCUfSm_UXcY6z4gjmLmQ4uCCo6g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/9kVUTW-hhWU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDOsTu0cH13dtVt5vhVbxbcOXXXoQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"2023 Lineer Cebir Bir Matrisin Transpozu Transpose of Matrices by Gökhan Kelebek Matematik 12,427 views 2 years ago 18 minutes"}},"simpleText":"2023 Lineer Cebir Bir Matrisin Transpozu Transpose of Matrices"},"longBylineText":{"runs":[{"text":"Gökhan Kelebek Matematik","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gokhankelebek","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzTTF3Fd0auWHUJZahpy-kg","canonicalBaseUrl":"/@gokhankelebek"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"12,427 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"18 minutes, 14 seconds"}},"simpleText":"18:14"},"navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWRI7bPKkIW52ujOAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9kVUTW-hhWU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9kVUTW-hhWU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nvm-cxbz.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=f645544d6fa18565 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=607500 mt=1739898335 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Gökhan Kelebek Matematik","navigationEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9QyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@gokhankelebek","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzTTF3Fd0auWHUJZahpy-kg","canonicalBaseUrl":"/@gokhankelebek"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/jY4Op6ciDsQLOpSjH7AdeUhK6WhUfatEwsEJbF_UJ2A5saLa8sFjNXNAL8_InxNEiDp1d9RPjw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9RA5YqG_daJ1aL2AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"12K views"}},"simpleText":"12K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKYBEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"9kVUTW-hhWU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9kVUTW-hhWU"],"params":"CAQ%3D"}},"videoIds":["9kVUTW-hhWU"]}},{"clickTrackingParams":"CKYBEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKcBELlqIhMI-JWa6dvNiwMVA296BR2UwB_U"}},"popupType":"TOAST"}}]}},"trackingParams":"CKYBEP6YBBgFIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKUBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U","offlineVideoEndpoint":{"videoId":"9kVUTW-hhWU","onAddCommand":{"clickTrackingParams":"CKUBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U","getDownloadActionCommand":{"videoId":"9kVUTW-hhWU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKUBENGqBRgGIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9Q=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs5a1ZVVFctaGhXVQ%3D%3D","commands":[{"clickTrackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9Q=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKQBEI5iIhMI-JWa6dvNiwMVA296BR2UwB_U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9Q=","hasSeparator":true}}],"trackingParams":"CKEBEKQwGAQiEwj4lZrp282LAxUDb3oFHZTAH9Q=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"18 minutes, 14 seconds"}},"simpleText":"18:14"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"9kVUTW-hhWU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKMBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"9kVUTW-hhWU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEPnnAxgBIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKIBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"9kVUTW-hhWU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9kVUTW-hhWU"],"params":"CAQ%3D"}},"videoIds":["9kVUTW-hhWU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKIBEMfsBBgCIhMI-JWa6dvNiwMVA296BR2UwB_U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"2023 Lineer Cebir Bir Matrisin Transpozu Transpose of Matrices - 18 minutes - Go to channel - Gökhan Kelebek Matematik - 12K 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/DJ7DoGoU9E0/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDp4OJSEvPRHskjm-tlRV10wwE0cg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/DJ7DoGoU9E0/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLABaCSoOayaTQ11L0_6gsX91xJgYg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"146 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3344937,"darkTheme":3344937}}}],"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":5837128,"darkTheme":5837128}}},"stackColor":{"lightTheme":10054542,"darkTheme":9664141}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Lineer Cebir (Linear Algebra)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"BUders Boğaziçiliden Özel Ders

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