The-Art-of-Linear-Algebra README

The project's README from github.com/kenjihiranabe/The-Art-of-Linear-Algebra. As one markdown file: README.md.

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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"

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 (QΛQ'), and Singular Value Decomposition (UΣV').

5 Factorizations

Also includes other graphics.

Map of Eigenvalues

Map of Eigenvalues

Matrix World

Matrix World

The 📕Book

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

book image

The-Art-of-Linear-Algebra (kenjihiranabe/The-Art-of-Linear-Algebra)

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What is this?This is a visual notebook of graphic notes that illustrate the core concepts of Gilbert Strang's book 'Linear Algebra for Everyone', covering matrix factorizations like CR, LU, QR, eigen-decomposition, and SVD.
Is this a library or code project, or just reading material?It is not code — it's a set of PDF documents with hand-crafted diagrams explaining vector/matrix concepts, meant to be read alongside the textbook.
How do I get the notes?Download the PDF 'The-Art-of-Linear-Algebra.pdf' directly from the repository; Japanese and Chinese translated versions are also provided as separate PDFs.
Do I need any software to use these notes?Just a PDF viewer — there's no code to install or run.
Does this replace the actual textbook?No, it's a visual companion/supplement to Strang's book, not a full replacement for the course content.
Who are these notes for?Students and learners studying linear algebra, particularly those following Strang's 'Linear Algebra for Everyone' material who want visual intuition for matrix factorizations.
What is the 'Map of Eigenvalues'?It's an additional standalone graphic in the repo that visually maps out relationships between eigenvalues, available as its own PDF.
What is 'Matrix World'?Another extra visualization included in the repo, presented as a separate PDF exploring matrix concepts beyond the main notes.
Which matrix factorizations are covered?The notes visually explain Column-Row (CR), Gaussian Elimination (LU), Gram-Schmidt Orthogonalization (QR), Eigenvalue Diagonalization (QΛQ′), and Singular Value Decomposition (UΣV′).
Is there a printed book based on this project?Yes, a Japanese print book based on this visual material has been published.
Size
52.7 MB
Stars
21.8K
Updated
CommitSep 18
Age
5y
Commits · 90 Days