/The-Art-of-Linear-Algebra

Graphic notes on Gilbert Strang's "Linear Algebra for Everyone"

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The-Art-of-Linear-Algebra

Graphic notes on Gilbert Strang's "Linear Algebra for Everyone"

The output file is "The-Art-of-Linear-Algebra.pdf"

Japanese version "The-Art-of-Linear-Algebra-j.pdf"

Chinese version "The-Art-of-Linear-Algebra-zh-CN.pdf" and "kf-liu/The-Art-of-Linear-Algebra-zh-CN/The-Art-of-Linear-Algebra-zh-CN.pdf" for the latest Chinese version.

Abstract

I tried intuitive visualizations of important concepts introduced in "Linear Algebra for Everyone".

This is aimed at promoting understanding of vector/matrix calculations and algorithms from the perspectives of matrix factorizations. They include Column-Row (CR), Gaussian Elimination (LU), Gram-Schmidt Orthogonalization (QR), Eigenvalues and Diagonalization (QΛQ'), and Singular Value Decomposition (UΣV').

5 Factorizations

Also includes other graphics.

Map of Eigenvalues

Map of Eigenvalues

Matrix World

Matrix World