Gauss-Jordan Reduction Method

This lecture covers the Gauss-Jordan reduction method for solving systems of linear equations. It explains how to transform an augmented matrix into reduced row-echelon form to find the solutions. The process involves elementary row operations to achieve reduced echelon form. The lecture also defines a matrix as row-reduced if it has pivots of 1 and zeros below and above each pivot. It demonstrates examples of row-reduced and non-row-reduced matrices. The lecture concludes with the general solution for systems with infinite solutions, showing the geometric interpretation of the solutions in terms of parameters.