Finding the Inverse of a 2 x 2 Matrix.

In this short video, I make up a 2 x 2 matrix and then find the inverse. I use an augmented matrix with the identity matrix on the right, and then manipulate each row to create that same identity matrix on the left side. What remains on the right is my new inverse matrix. I then check my work by multiplying the original matrix by the newly created inverse, and I get the identity matrix at the end.