3blue1brown Series (2016)

3Blue1Brown Series

Watch 3Blue1Brown Series - Nonsquare matrices as transformations between dimensions

Type : Episode Season: 1Episode: 8

Details

Because people asked, this is a video briefly showing the geometric interpretation of non-square matrices as linear transformations that go between dimensions.

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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