3Blue1Brown Series Essence of linear algebra Episode 9 Dot products and duality 2016
9/10 by 1 users
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.
- Released: 2016-08-24
- Runtime: 60 minutes
- Genre: Documentary
- Stars:
- Director: Grant Sanderson
-
1. Vectors, what even are they? 2016-08-06
-
3. Linear transformations and matrices 2016-08-07
-
4. Matrix multiplication as composition 2016-08-09
-
5. Three-dimensional linear transformations 2016-08-10
-
6. The determinant 2016-08-11
-
9. Dot products and duality 2016-08-24
-
10. Cross products 2016-09-01
-
12. Cramer's rule, explained geometrically 2019-03-17
-
13. Change of basis 2016-09-11
-
14. Eigenvectors and eigenvalues 2016-09-15
-
15. A quick trick for computing eigenvalues 2021-05-07
-
16. Abstract vector spaces 2016-09-24
