х — у + 2z — 2х + у — 2z - 2w 3 —2 w = -1 - - | -x + 2y – 4z + w = 1 3x 3w = -3

Is the following system of equation consistent? If so, determine which variables are free variables in the system of linear equation. X1 + 3x2 - 2x3 + 2x5 = 0 2x1 + 6x2 - 5x3 - 2x4 +4x5 = -1 5x3 + 10x4 = 5 %3D Ox 4 consistent Ox_1 Ox_3 O not consistent Ox 2 x_5

Use the method of Gaussian Elimination with the partial pivoting strat-egy to solve the linear system. Then display the workspace and the pivot vector for each stage of theGaussian Elimination process.