Dot products and duality | Chapter 9, Essence of linear algebra
August 24, 2016
3,242,823
61,885
2,443
1.98%
Search the Record
IndexedEvery word spoken in this episode is indexed. Type any phrase to jump straight to the moment it was said.
Type any word or phrase that may have been spoken. Click a result to seek the player to that exact moment.
Try a name, a topic, or a quoted line
3blue1brown Episodes Around August 24, 2016
See what was published immediately before and after this episode.
14:12Now PlayingDot products and duality | Chapter 9, Essence of linear algebra
YouTube Description
as posted by the channelWhy the formula for dot products matches their geometric intuition.
Help fund future projects
An equally valuable form of support is to simply share some of the videos.
Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation.
Full series
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist
Various social media stuffs:
Guests & Subjects Covered
Sentinel Indexing in Progress
Metadata and chapters are available. Claim extraction for this episode is pending.
All video content is delivered via YouTube embedded players in accordance with the YouTube Terms of Service. Sentinel provides research tools that promote discovery and accountability across political media.