More determinant depth

In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them. In this tutorial we go deeper. We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.

Determinant when row multiplied by scalar

(correction) scalar multiplication of row

Determinant when row is added

Duplicate row determinant

Determinant after row operations

Upper triangular determinant

Simpler 4x4 determinant

Determinant and area of a parallelogram

Determinant as scaling factor