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 ).
Also includes other graphics.
Map of Eigenvalues
- Available in PDF "MapofEigenvalues"
Matrix World
- Available in PDF "MatrixWorld"
The Book 📕
The Japanese book of this paper has been published in 2026. Let me know if overseas publishers are interested in publishing this in English.
