Lots of matrices don't have an inverse.
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)
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 (2012) (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
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)