# 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)
- Seven Sins of Numerical Linear Algebra (2022)
- Numerical Linear Algebra by Lloyd N. Trefethen
- What Is an Eigenvalue? (2022) (HN)
- Linear algebra with transformers (2022) (Code)
- Unary Computer for Matrix Multiplication (2020)
- NumLin: Linear Types for Linear Algebra
- I❤️LA: Compilable Markdown for Linear Algebra
- Vectorization: Introduction (HN)
- Linear Algebra Done Right (HN)
- Matrices and Graphs (2023)
- pulp - Python Linear Programming API.
- Functions are Vectors (2023) (HN)
- Thermodynamic Linear Algebra (2023) (HN)
- CoLA - Compositional Linear Algebra.