Channel: MyWhyU

Category: Education

Tags: why urow reductionelementary row operationmathematicslinear equationsimultaneous equationsalgebrasystem of linear equationsreduced row echelon formmatrixdependent systemaugmented matrixgauss-jordan eliminationwhyuprofessor von schmohawkmathmatricessystem of equations

Description: This lecture examines an example of Gauss-Jordan elimination on a dependent system from Algebra chapter 58, and follows how the planes are geometrically transformed step by step, from a system of three planes, representing three equations, each containing three variables, to a system of two planes representing two equations, each containing only two variables. The result is a simpler system from which a parametric representation of the infinite solution set can then be easily written.