mlnlp-world/mit-linear-algebra-notes

This repository contains student notes for the MIT Linear Algebra course, a well-known open course from MIT that covers the mathematics behind vectors, matrices, and systems of equations. The notes were created by a group of Chinese students and are written primarily in Chinese, paired directly with the 35 video lectures available on NetEase Open Course. The goal was to make the material more accessible to Chinese learners by providing readable, illustrated notes alongside each video. Linear algebra is one of the two foundational math courses in higher education, alongside calculus. It deals with vectors, vector spaces, linear transformations, determinants, eigenvalues, and related topics. These concepts appear constantly in fields like machine learning, computer graphics, data science, and physics. The MIT version of this course is especially popular because the professor explains ideas visually and intuitively, not just symbolically. Each row in the notes table links to one lecture video and one PDF of handwritten notes. The 35 lectures are organized progressively, starting from basic topics like solving systems of equations and matrix operations, then moving into deeper ideas like vector spaces, orthogonality, and eigenvalue decomposition. The notes use diagrams to keep explanations as approachable as possible. The project is open source and welcomes contributions. If you spot a mistake or want to improve a section, pull requests are accepted. The repository also notes that some badge icons were sourced from the internet and can be removed if there are copyright concerns. If you are learning linear algebra alongside the MIT video series and prefer explanations in Chinese, or if you want a structured PDF reference for each lecture topic, this collection offers a direct companion to the course.