Linear algebra

Notes

• Lots of matrices don't have an inverse.
• It is useful to simply think of matrices as systems of linear equations.
• Seeing the derivative operator represented as a matrix, acting over the polynomial vector space can open your eyes. Taking the determinant of that matrix shows that d/dx isn't invertible. Thinking of the fixed point of the transformation yields exp, the eigenfunction of the operator.

Links

• Intuitive Math
• Skill in Algebra
• HN: Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares (2018)
• Immersive Linear Algebra (HN)
• Relearning Matrices as Linear Functions (HN)
• Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (HN)
• A Brief Guide to A Few Algebraic Structures (HN)
• Margot Gerritsen on "Linear Algebra - the incredible beauty of math" (2013)
• Interactive Linear Algebra (Code) (HN) (HN)
• Numerical Linear Algebra for Programmers book
• Oxford Linear Algebra II course (2020)
• No bullshit guide to linear algebra notebooks
• MIT Linear Algebra Lectures (2010)
• An Intuitive Guide to Linear Algebra (HN) (HN)
• A 2020 Vision of Linear Algebra (2020) (HN)
• GraphBLAST - High-Performance Linear Algebra-based Graph Primitives on GPUs.
• Graph BLAS - Graph algorithms in the language of linear algebra. (HN)
• Cotila - Compile-time linear algebra system for C++.
• BLIS - Portable software framework for instantiating high-performance BLAS-like dense linear algebra libraries.
• MIT Linear Algebra course (Code)
• Catalog of algebra books for self learning
• Is NonLinear Algebra a thing? (2020)
• Why is it important for a matrix to be square? (2018) (HN)
• Interactive Visualization of Why Eigenvectors Matter (2020)
• Graphical Linear Algebra (HN)
• Vector Matrix Vector Queries for Solving Linear Algebra, Statistics, and Graph Problems (2020)
• Computability in linear algebra
• Algebra of Programming
• A Programmer’s Intuition for Matrix Multiplication (HN)
• Linear Algebra book by Jim Hefferon (HN)
• Introduction to Linear Algebra for Applied Machine Learning with Python (2020) (HN)
• How to Visualize a Matrix
• David’s Super Quick Logic Cheat Sheet
• the amplitwist, the conjugate transpose, and the complex derivative (2019)
• Essence of linear algebra
• Vectorious - Linear algebra in TypeScript.
• New Algorithm Breaks Speed Limit for Solving Linear Equations (2021) (HN)
• Mathematicians Inch Closer to Matrix Multiplication Goal (2021)
• Printing algebraic numbers
• Tasty Bits of Several Complex Variables (Code)
• A friendly introduction to linear algebra for ML (2021)
• Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares
• Computational algebraic geometry for high school students (HN)
• Demystifying Determinant of a Matrix (2021)
• Multiplying Matrices Without Multiplying (2021)
• Compressing high-dimensional vectors by 97% (2021) (HN)
• Resources to learn algebra visually (2021)
• Can We Solve Linear Algebra Problems at Extreme Scale and Low Precisions? (2021) (HN)
• linalg - Reinforcing my linear algebra and numerical analysis by reimplementing basic, fundamental algorithms in Python.
• Linear Algebra for Everyone, Gilbert Strang (Graphic notes) (HN)
• I❤️LA - Compilable Markdown for Math.
• An Introduction to Tensor Calculus (HN)
• What is the inverse of a vector? (2021) (HN)
• Efficient matrix multiplication
• Stable softmax for sparse matrices (2019)
• Matrix Multiplication Inches Closer To Mythic Goal (2021) (HN)
• Matrix Multiplication (HN) (Code)
• Конспекты по линейной алгебре
• Why Tensors? A Beginner's Perspective (2022) (HN)
• Matrices are graphs, and graphs are matrices
• Vectorization, dependencies and outer loop vectorization: if you can't beat them, join them (2022)
• Writing your own linear algebra matrix library in C (2021)
• The Big Six Matrix Factorizations (2022) (HN)
• Ask HN: Best beginner friendly linear algebra book? (2022)
• The Philosophy of Linear Algebra (2021) (HN)
• Lie Algebra Cheatsheet
• Efficient Simulation through Linear Algebra (2022) (HN)