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Documentary

3Blue1Brown Series

3Blue1Brown is a channel about animating math, in all senses of the word animate.

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Vectors, what even are they?

Vectors, what even are they? 1-1

Linear combinations, span, and basis vectors

Linear combinations, span, and basis vectors 1-2

Linear transformations and matrices

Linear transformations and matrices 1-3

Matrix multiplication as composition

Matrix multiplication as composition 1-4

Three-dimensional linear transformations

Three-dimensional linear transformations 1-5

The determinant

The determinant 1-6

Inverse matrices, column space and null space

Inverse matrices, column space and null space 1-7

Nonsquare matrices as transformations between dimensions

Nonsquare matrices as transformations between dimensions 1-8

Dot products and duality

Dot products and duality 1-9

Cross products

Cross products 1-10

Cross products in the light of linear transformations

Cross products in the light of linear transformations 1-11

Cramer's rule, explained geometrically

Cramer's rule, explained geometrically 1-12

Change of basis

Change of basis 1-13

Eigenvectors and eigenvalues

Eigenvectors and eigenvalues 1-14

A quick trick for computing eigenvalues

A quick trick for computing eigenvalues 1-15

Abstract vector spaces

Abstract vector spaces 1-16