Algebra 59 - A Geometric View of Gauss-Jordan with Dependent Systems

Professor Von Schmohawk explains how Gauss-Jordan elimination transforms a dependent system of linear equations into an independent system with fewer equations. The lecture uses an example to demonstrate the step-by-step transformation of a matrix to reduced row echelon form, resulting in a system of two independent equations. The process involves scaling and pivot operations, leading to a solution set that can be expressed in parametric form. The lecture concludes by highlighting the infinite solution set represented by the intersection line of the planes.

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