This lecture covers the Gaussian elimination method for solving systems of linear equations. It explains the process of transforming a matrix into row-echelon form by performing elementary row operations. The lecture demonstrates the steps involved in Gaussian elimination, including writing the augmented matrix, pivoting, and obtaining the unique solution. It also discusses the concept of row echelon matrices and their properties. The lecture concludes with examples illustrating the application of the Gaussian elimination method to solve systems of linear equations.
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