kenjihiranabe/the-art-of-linear-algebra

The Art of Linear Algebra is a set of graphic notes, visual diagrams and illustrations, designed to accompany Gilbert Strang's textbook "Linear Algebra for Everyone." The goal is to make the abstract mathematical ideas in linear algebra easier to grasp by presenting them as pictures rather than just equations. Linear algebra is a branch of mathematics dealing with vectors (lists of numbers) and matrices (grids of numbers), and it underpins nearly all of modern AI, data science, and engineering. The graphics here focus specifically on understanding how matrix calculations work through the lens of matrix factorizations, ways of breaking a matrix into simpler pieces that reveal its underlying structure. The covered factorizations include Column-Row decomposition, Gaussian Elimination (LU), Gram-Schmidt Orthogonalization (QR), Eigenvalue Diagonalization, and Singular Value Decomposition, each being a fundamental technique used throughout scientific computing. The main output is a PDF file that can be downloaded and read alongside the textbook. Versions are available in English, Japanese, and Chinese. Additional standalone graphics include a "Map of Eigenvalues" and a "Matrix World" diagram, each available as separate PDFs. The source files are written in PostScript, a language used to describe the layout of printed pages. Someone would use this repository if they are studying linear algebra and find visual explanations more intuitive than pure symbol manipulation, or if they want a compact reference sheet of the key decomposition techniques.