Blog Post··5 min read
Determinants and Invertibility
The determinant measures how much a matrix stretches or squishes space — and whether it flips orientation. When it's zero, information is lost and the matrix can't be inverted.
The determinant measures how much a matrix stretches or squishes space — and whether it flips orientation. When it's zero, information is lost and the matrix can't be inverted.
A matrix is not just a grid of numbers — it's a function that transforms space. This post builds the geometric intuition for matrix-vector multiplication as rotation, scaling, and shearing.