The-Art-of-Linear-Algebra

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The-Art-of-Linear-Algebra

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

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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](https://raw.githubusercontent.com/kenjihiranabe/The-Art-of-Linear-Algebra/main/5-Factorizations.png)

Also includes other graphics.

## Map of Eigenvalues

![Map of Eigenvalues](https://raw.githubusercontent.com/kenjihiranabe/The-Art-of-Linear-Algebra/main/MapofEigenvalues.png)

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

## Matrix World

![Matrix World](https://raw.githubusercontent.com/kenjihiranabe/The-Art-of-Linear-Algebra/main/MatrixWorld.png)

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

## The 📕Book
Japanese book of this paper pulibshed. 
https://anagileway.com/visual-linear-algebra/

![book image](https://i0.wp.com/anagileway.com/wp-content/uploads/2026/04/1B57F351-CC8C-40BE-9A75-9569E0CF0EE5.png?w=1197&ssl=1)

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