Lots of matrices don't have an inverse.

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