Gauss-Jordan Elimination Method: Solving Systems of Linear Equations скачать в хорошем качестве

Gauss-Jordan Elimination Method: Solving Systems of Linear Equations

In this video, we continue from the Gaussian elimination method to demonstrate the Gauss-Jordan elimination method. We show you how to take a matrix that is already in row-echelon form and further reduce it to reduced row-echelon form by eliminating the non-zero values in the upper triangle. The tutorial guides you through the specific row operations required to turn the remaining terms into zeros, effectively isolating variables x, y, and z. Finally, we verify that the solution obtained (x=-2, y=0, z=-1) matches the results from the Gaussian method, proving the consistency of both approaches. #GaussJordan #LinearAlgebra #Matrices #MathTutorial #SystemsOfEquations #EngineeringMath #StudyWithMe