# Repository: kenjihiranabe/The-Art-of-Linear-Algebra
# Stars: 21292

## README.md

English ｜ [中文(简体)](README-zh-CN.md)

# 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](The-Art-of-Linear-Algebra.pdf)"

Japanese version "[The-Art-of-Linear-Algebra-j.pdf](The-Art-of-Linear-Algebra-j.pdf)"

Chinese version "[The-Art-of-Linear-Algebra-zh-CN.pdf](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](https://github.com/kf-liu/The-Art-of-Linear-Algebra-zh-CN/blob/main/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](5-Factorizations.png)

Also includes other graphics.

## Map of Eigenvalues

![Map of Eigenvalues](MapofEigenvalues.png)

- Available in PDF "[MapofEigenvalues](MapofEigenvalues.pdf)"

## Matrix World

![Matrix World](MatrixWorld.png)

- Available in PDF "[MatrixWorld](MatrixWorld.pdf)"