Gaussian Elimination Method

This lecture introduces the Gaussian elimination method for solving systems of linear equations. It covers elementary row operations, the concept of equivalent matrices, and the process of obtaining an equivalent row-echelon matrix. The instructor explains the steps of the Gaussian elimination algorithm, including writing the augmented matrix, performing row operations, and obtaining a row-echelon form. Examples are provided to illustrate the process of determining the general solution of linear equations. The lecture concludes with the verification of solutions obtained through the Gaussian elimination method.