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Season 4 Episode
- Season 1 Vectors, what even are they?
- Season 1 Linear combinations, span, and basis vectors
- Season 1 Linear transformations and matrices
- Season 1 Matrix multiplication as composition
- Season 1 Three-dimensional linear transformations
- Season 1 The determinant
- Season 1 Inverse matrices, column space and null space
- Season 1 Nonsquare matrices as transformations between dimensions
- Season 1 Dot products and duality
- Season 1 Cross products
- Season 1 Cross products in the light of linear transformations
- Season 1 Cramer's rule, explained geometrically
- Season 1 Change of basis
- Season 1 Eigenvectors and eigenvalues
- Season 1 A quick trick for computing eigenvalues
- Season 1 Abstract vector spaces
3Blue1Brown Series - Season 1 Episode 9 Dot products and duality
9.00 48 minutes 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.
