Linear Algebra: Invertible matrices

In this video, we discuss the idea of an invertible matrix and how to find a general way to find the inverse of a matrix using elementary row operations.

00:00 - Introduction
01:01 - Definition of a matrix inverse
04:24 - Example 1
06:43 - The power of an invertible matrix
08:02 - Example 2
10:10 - Properties of an invertible matrix
15:40 - The Elementary matrix
18:58 - Row equivalent matrixes
20:23 - Algorithm to find the inverse of a matrix + definitions