daydreamer2023 / The-Art-of-Linear-Algebra

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

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"

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 ($Q \Lambda Q^T$), and Singular Value Decomposition ($U \Sigma V^T$).

Also includes other graphics.

Map of Eigenvalues

• Avaialble in PDF "MapofEigenvalues"

Matrix World

• Avaialble in PDF "MatrixWorld"