Finding inverses and determinants

We've talked a lot about inverse transformations abstractly in the last tutorial. Now, we're ready to actually compute inverses. We start from "documenting" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix. After this we define a determinant for 2x2, 3x3 and nxn matrices.

Deriving a method for determining inverses

Example of finding matrix inverse

Formula for 2x2 inverse

3 x 3 determinant

n x n determinant

Determinants along other rows/cols

Rule of Sarrus of determinants