Visualizing Gaussian Elimination

The determinant is related to the volume of a parallelepiped spanned by the vectors in a matrix let’s see how.

Recently I was asked to create a video demonstrating how converting a matrix into reduced row echelon form (RREF) uncovers the determinant. I know this sounds implausible but it happened. The goal of this post is not to describe all of the properties of a determinant, nor is it to explain how Gaussian Elimination works ,there are plenty of other resources for that, but to show a nifty…