A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.
A geometric understanding of matrices, determinants, eigen-stuffs and more.
Vectors, what even are they?
Linear combinations, span, and basis vectors
Linear transformations and matrices
Matrix multiplication as composition
Three-dimensional linear transformations
The determinant
Inverse matrices, column space and null space
Nonsquare matrices as transformations between dimensions
Dot products and duality
Cross products
Cross products in the light of linear transformations
Cramer's rule, explained geometrically
Change of basis
Eigenvectors and eigenvalues
A quick trick for computing eigenvalues
Abstract vector spaces
The goal here is to make calculus feel like something that you yourself could have discovered.
An overview of neural networks.
An overview of differential equations.
