31 Transformation Matrices

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=09I15RO49vg

In this lecture, I introduce the concept of a transformation matrix which combines a rotation matrix in the Special Orthogonal group SO(3), and a translation vector in 3D Euclidean space. I develop the inverse of a transformation matrix, show how to perform point transformations between frames, and chain transformation matrices to find the relative transform between reference frames in a given scenario.","styleRuns":[{"startIndex":0,"length":407,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":407,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CPoBELsvGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzA5STE1Uk80OXZnGAYyJSIRIgswOUkxNVJPNDl2ZzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CPoBELsvGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CPkBELovIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"EzNAs2w1cS0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/EzNAs2w1cS0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA8LW_hCh4Rbh286nIDuN3jJnxJfg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/EzNAs2w1cS0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCDcglyU7HO8B0Z-jYL-GjU-e6xxg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"4.1 Forward Kinematics by Woolfrey 47,548 views 6 years ago 7 minutes, 43 seconds"}},"simpleText":"4.1 Forward Kinematics"},"longBylineText":{"runs":[{"text":"Woolfrey","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Woolfrey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCj2z-c_j0DChOwU7dobhPQw","canonicalBaseUrl":"/@Woolfrey"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"47,548 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"7 minutes, 43 seconds"}},"simpleText":"7:43"},"navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWRI-O3jndG8jenTAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=EzNAs2w1cS0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"EzNAs2w1cS0","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=133340b36c35712d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1493750 mt=1740408792 oweuc= pxtags=Cg4KAnR4Egg1MTM5OTk3NQ rxtags=Cg4KAnR4Egg1MTM5OTk3MQ%2CCg4KAnR4Egg1MTM5OTk3Mg%2CCg4KAnR4Egg1MTM5OTk3Mw%2CCg4KAnR4Egg1MTM5OTk3NA%2CCg4KAnR4Egg1MTM5OTk3NQ%2CCg4KAnR4Egg1MTM5OTk3Ng%2CCg4KAnR4Egg1MTM5OTk3Nw%2CCg4KAnR4Egg1MTM5OTk3OA"}}}}},"shortBylineText":{"runs":[{"text":"Woolfrey","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Woolfrey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCj2z-c_j0DChOwU7dobhPQw","canonicalBaseUrl":"/@Woolfrey"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kfGlFhH9YRNtpp-TPIdR-we_Z9eDj46AOJN60RvDc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6pAreLV4baW0JkT","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"47K views"}},"simpleText":"47K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPcBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPcBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EzNAs2w1cS0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPcBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EzNAs2w1cS0"],"params":"CAQ%3D"}},"videoIds":["EzNAs2w1cS0"]}},{"clickTrackingParams":"CPcBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPgBELlqIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},"popupType":"TOAST"}}]}},"trackingParams":"CPcBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CPYBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","offlineVideoEndpoint":{"videoId":"EzNAs2w1cS0","onAddCommand":{"clickTrackingParams":"CPYBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","getDownloadActionCommand":{"videoId":"EzNAs2w1cS0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CPYBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6o=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtFek5BczJ3MWNTMA%3D%3D","commands":[{"clickTrackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6o=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CPUBEI5iIhMIo6ifwcnciwMVrmh6BR0cKA-q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6o=","hasSeparator":true}}],"trackingParams":"CPIBEKQwGAAiEwijqJ_BydyLAxWuaHoFHRwoD6o=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"7 minutes, 43 seconds"}},"simpleText":"7:43"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"EzNAs2w1cS0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"EzNAs2w1cS0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPQBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPMBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPMBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"EzNAs2w1cS0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPMBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["EzNAs2w1cS0"],"params":"CAQ%3D"}},"videoIds":["EzNAs2w1cS0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPMBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"4.1 Forward Kinematics - 7 minutes, 43 seconds - Go to channel - Woolfrey - 47K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"wg9bI8-Qx2Q","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/wg9bI8-Qx2Q/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLA6LnSzNI0e0VUOF1SJjEGxQ9vkjA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/wg9bI8-Qx2Q/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBTRqb777-7n5D8Tly2CN1DAeIylg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"2.3 Rotations in 3D by Woolfrey 276,208 views 6 years ago 11 minutes, 14 seconds"}},"simpleText":"2.3 Rotations in 3D"},"longBylineText":{"runs":[{"text":"Woolfrey","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Woolfrey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCj2z-c_j0DChOwU7dobhPQw","canonicalBaseUrl":"/@Woolfrey"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"276,208 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 14 seconds"}},"simpleText":"11:14"},"navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWRI-O3jndG8jenTAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=wg9bI8-Qx2Q","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"wg9bI8-Qx2Q","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-nv47lnsd.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=c20f5b23cf90c764 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=8691250 mt=1740408792 oweuc= pxtags=Cg4KAnR4Egg1MTM5OTk3NQ rxtags=Cg4KAnR4Egg1MTM5OTk3MQ%2CCg4KAnR4Egg1MTM5OTk3Mg%2CCg4KAnR4Egg1MTM5OTk3Mw%2CCg4KAnR4Egg1MTM5OTk3NA%2CCg4KAnR4Egg1MTM5OTk3NQ%2CCg4KAnR4Egg1MTM5OTk3Ng%2CCg4KAnR4Egg1MTM5OTk3Nw%2CCg4KAnR4Egg1MTM5OTk3OA"}}}}},"shortBylineText":{"runs":[{"text":"Woolfrey","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Woolfrey","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCj2z-c_j0DChOwU7dobhPQw","canonicalBaseUrl":"/@Woolfrey"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kfGlFhH9YRNtpp-TPIdR-we_Z9eDj46AOJN60RvDc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6pA5I7D_Lzk1ofCAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"276K views"}},"simpleText":"276K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPABEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPABEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"wg9bI8-Qx2Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPABEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["wg9bI8-Qx2Q"],"params":"CAQ%3D"}},"videoIds":["wg9bI8-Qx2Q"]}},{"clickTrackingParams":"CPABEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPEBELlqIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},"popupType":"TOAST"}}]}},"trackingParams":"CPABEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CO8BENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","offlineVideoEndpoint":{"videoId":"wg9bI8-Qx2Q","onAddCommand":{"clickTrackingParams":"CO8BENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","getDownloadActionCommand":{"videoId":"wg9bI8-Qx2Q","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CO8BENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6o=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt3ZzliSTgtUXgyUQ%3D%3D","commands":[{"clickTrackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6o=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CO4BEI5iIhMIo6ifwcnciwMVrmh6BR0cKA-q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6o=","hasSeparator":true}}],"trackingParams":"COsBEKQwGAEiEwijqJ_BydyLAxWuaHoFHRwoD6o=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 14 seconds"}},"simpleText":"11:14"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"wg9bI8-Qx2Q","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"wg9bI8-Qx2Q"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CO0BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COwBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COwBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"wg9bI8-Qx2Q","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COwBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["wg9bI8-Qx2Q"],"params":"CAQ%3D"}},"videoIds":["wg9bI8-Qx2Q"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COwBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"2.3 Rotations in 3D - 11 minutes, 14 seconds - Go to channel - Woolfrey - 276K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"a7KC9Jx5qlM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/a7KC9Jx5qlM/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB6Z9FhvPNjKCbP157Rruhqehs-KA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/a7KC9Jx5qlM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDY3Y2ZCMQNbC1DCHG8kN6b1xYvnA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Linear Algebra - Lecture 17 - Matrix Transformations by James Hamblin 199,888 views 6 years ago 11 minutes, 32 seconds"}},"simpleText":"Linear Algebra - Lecture 17 - Matrix Transformations"},"longBylineText":{"runs":[{"text":"James Hamblin","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@HamblinMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCNSjRxmON9JdyG-eFeNJUCQ","canonicalBaseUrl":"/@HamblinMath"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"199,888 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 32 seconds"}},"simpleText":"11:32"},"navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWRI-O3jndG8jenTAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=a7KC9Jx5qlM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"a7KC9Jx5qlM","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=6bb282f49c79aa53 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1493750 mt=1740408792 oweuc= pxtags=Cg4KAnR4Egg1MTM5OTk3NQ rxtags=Cg4KAnR4Egg1MTM5OTk3MQ%2CCg4KAnR4Egg1MTM5OTk3Mg%2CCg4KAnR4Egg1MTM5OTk3Mw%2CCg4KAnR4Egg1MTM5OTk3NA%2CCg4KAnR4Egg1MTM5OTk3NQ%2CCg4KAnR4Egg1MTM5OTk3Ng%2CCg4KAnR4Egg1MTM5OTk3Nw%2CCg4KAnR4Egg1MTM5OTk3OA"}}}}},"shortBylineText":{"runs":[{"text":"James Hamblin","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@HamblinMath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCNSjRxmON9JdyG-eFeNJUCQ","canonicalBaseUrl":"/@HamblinMath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nbZ3JIBiUWnLl-e_EkqnSMgmN0nr4KLed41GbLPvWzbao=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6pA09Tm48neoNlr","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"199K views"}},"simpleText":"199K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COkBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COkBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"a7KC9Jx5qlM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COkBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["a7KC9Jx5qlM"],"params":"CAQ%3D"}},"videoIds":["a7KC9Jx5qlM"]}},{"clickTrackingParams":"COkBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COoBELlqIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},"popupType":"TOAST"}}]}},"trackingParams":"COkBEP6YBBgFIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COgBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","offlineVideoEndpoint":{"videoId":"a7KC9Jx5qlM","onAddCommand":{"clickTrackingParams":"COgBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","getDownloadActionCommand":{"videoId":"a7KC9Jx5qlM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COgBENGqBRgGIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgthN0tDOUp4NXFsTQ%3D%3D","commands":[{"clickTrackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COcBEI5iIhMIo6ifwcnciwMVrmh6BR0cKA-q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","hasSeparator":true}}],"trackingParams":"COQBEKQwGAIiEwijqJ_BydyLAxWuaHoFHRwoD6o=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 32 seconds"}},"simpleText":"11:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"a7KC9Jx5qlM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"a7KC9Jx5qlM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COYBEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COUBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COUBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"a7KC9Jx5qlM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COUBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["a7KC9Jx5qlM"],"params":"CAQ%3D"}},"videoIds":["a7KC9Jx5qlM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COUBEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Linear Algebra - Lecture 17 - Matrix Transformations - 11 minutes, 32 seconds - Go to channel - James Hamblin - 199K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"vlb3P7arbkU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/vlb3P7arbkU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB9E5sN7cZu06YqNig4cdz_3SIa4Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/vlb3P7arbkU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCvWO8wg6RAaFxoPDYo27SR-sW3IA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Modern Robotics, Chapter 3.3.1: Homogeneous Transformation Matrices by Northwestern Robotics 86,369 views 7 years ago 6 minutes, 22 seconds"}},"simpleText":"Modern Robotics, Chapter 3.3.1: Homogeneous Transformation Matrices"},"longBylineText":{"runs":[{"text":"Northwestern Robotics","navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@NorthwesternRobotics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiK0J5wtnyX2jP-AiGbdhjg","canonicalBaseUrl":"/@NorthwesternRobotics"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"86,369 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minutes, 22 seconds"}},"simpleText":"6:22"},"navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWRI-O3jndG8jenTAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=vlb3P7arbkU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"vlb3P7arbkU","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=be56f73fb6ab6e45 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1493750 mt=1740408792 oweuc= pxtags=Cg4KAnR4Egg1MTM5OTk3NQ rxtags=Cg4KAnR4Egg1MTM5OTk3MQ%2CCg4KAnR4Egg1MTM5OTk3Mg%2CCg4KAnR4Egg1MTM5OTk3Mw%2CCg4KAnR4Egg1MTM5OTk3NA%2CCg4KAnR4Egg1MTM5OTk3NQ%2CCg4KAnR4Egg1MTM5OTk3Ng%2CCg4KAnR4Egg1MTM5OTk3Nw%2CCg4KAnR4Egg1MTM5OTk3OA"}}}}},"shortBylineText":{"runs":[{"text":"Northwestern Robotics","navigationEndpoint":{"clickTrackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6oyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@NorthwesternRobotics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiK0J5wtnyX2jP-AiGbdhjg","canonicalBaseUrl":"/@NorthwesternRobotics"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nh5brep8AQqVeLtEfideds9BRFhs3Y8lqTEmJghbsEXg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6pAxdyttfvnvau-AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"86K views"}},"simpleText":"86K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COIBEP6YBBgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COIBEP6YBBgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"vlb3P7arbkU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COIBEP6YBBgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["vlb3P7arbkU"],"params":"CAQ%3D"}},"videoIds":["vlb3P7arbkU"]}},{"clickTrackingParams":"COIBEP6YBBgGIhMIo6ifwcnciwMVrmh6BR0cKA-q","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COMBELlqIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},"popupType":"TOAST"}}]}},"trackingParams":"COIBEP6YBBgGIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COEBENGqBRgHIhMIo6ifwcnciwMVrmh6BR0cKA-q","offlineVideoEndpoint":{"videoId":"vlb3P7arbkU","onAddCommand":{"clickTrackingParams":"COEBENGqBRgHIhMIo6ifwcnciwMVrmh6BR0cKA-q","getDownloadActionCommand":{"videoId":"vlb3P7arbkU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COEBENGqBRgHIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6o=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt2bGIzUDdhcmJrVQ%3D%3D","commands":[{"clickTrackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6o=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COABEI5iIhMIo6ifwcnciwMVrmh6BR0cKA-q","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6o=","hasSeparator":true}}],"trackingParams":"CN0BEKQwGAMiEwijqJ_BydyLAxWuaHoFHRwoD6o=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minutes, 22 seconds"}},"simpleText":"6:22"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CN8BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"vlb3P7arbkU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CN8BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"vlb3P7arbkU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CN8BEPnnAxgBIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CN4BEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CN4BEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"vlb3P7arbkU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CN4BEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["vlb3P7arbkU"],"params":"CAQ%3D"}},"videoIds":["vlb3P7arbkU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CN4BEMfsBBgCIhMIo6ifwcnciwMVrmh6BR0cKA-q"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Modern Robotics, Chapter 3.3.1: Homogeneous Transformation Matrices - 6 minutes, 22 seconds - Go to channel - Northwestern Robotics - 86K views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/vlb3P7arbkU/mqdefault_6s.webp?du=3000 sqp=CIqP8r0G rs=AOn4CLDYUXtw-V8Ht416tBkXaaCHq6WP_w","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/IUBD9JRYpzc/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBfHRARhuoI5cI2WLaZJIM1KL5vow","width":168,"height":94},{"url":"https://i.ytimg.com/vi/IUBD9JRYpzc/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCQLZaATo3g5FypEMj33zV5f7477Q","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"10 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":335654,"darkTheme":335654}}}],"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":736844,"darkTheme":736844}}},"stackColor":{"lightTheme":7049113,"darkTheme":7769491}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"41013 Robotics"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Woolfrey

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