The-Art-of-Linear-Algebra

Graphic notes on Gilbert Strang's "Linear Algebra for Everyone" by Kenji Hiranabe with the kindest help from Gilbert Strang. The output PDF files are listed below.

The English version "The-Art-of-Linear-Algebra.pdf"
The Japanese version "The-Art-of-Linear-Algebra-j.pdf"
The 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 ( Q\Lambda Q^\top), and Singular Value Decomposition ( U\Sigma V^\top ).