3blue1brown Series (2016)

3Blue1Brown Series

Watch 3Blue1Brown Series - Matrix multiplication as composition

Type : Episode Season: 1Episode: 4

Details

Multiplying two matrices represents applying one transformation after another. Many facts about matrix multiplication become much clearer once you digest this fact.

Genres: Documentary
Language: English

Cast & Crew

Cast:
Creator: Grant Sanderson
Producer: Grant Sanderson

Essence of linear algebra
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
Essence of calculus
The goal here is to make calculus feel like something that you yourself could have discovered.
Neural networks
An overview of neural networks.
Differential equations
An overview of differential equations.

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