How to Prove that a Matrix is Invertible
In this video I will teach you how you can show that a given matrix is invertible. In this video I will do a worked example of a 3x3 matrix and explain the procedure for showing that a 2x2 matrix is invertible as well.
Fundamentally the test for invertibility is the determinant. This method can also be used to show that a matrix is singular (i.e. not invertible).