If you haven't watched Part I of this series, do it now, here: http://bit.ly/2iOkY70
In this video, we extend the method that we used in part I, to the method called Gauss-Jordan Elimination Method. Basically, we don't stop when we get the triangular matrix. We go on until we get an augmented diagonal matrix with ones in the diagonal.
If we cannot get an augmented diagonal matrix with ones in the diagonal then we try to get what we call an Echelon matrix. In this video, I define what an Echelon matrix is and how to determine if the system has a unique solution, infinite solutions or is inconsistent (no solution).