Question

Use Gauss-Jordan Elimination to solve the following system of equations. 2x + 2y − 6z = −2 x + 5y + z = −3 6x + 14y − 10z = −8

Answer 1

solution Giren: System of Equations → - 2x + ay 62= -2 x+ sy +2=-3 6x + 4y - 10 z=18 (to rolre using the Gaurs Jorden elimination method) to, r2 2 -6 2727 1 5 1 1191 LG 14-10- AŽ - I so, the Augmented matrix is à = [A I 6] 2 2 -6 1-2 | 1 s 1 !-3 6 14 -10 1-8 Scanned with CamScanner

form, so, converting Rio R/ to now reduced echelon r1 1 - 3 1 -17 11 5 11 -3 6 14 -10 1-8) - 1 To T R₂ R₂ - R, ✓ R3 R₃-6R, 1 -3 1-17 4 41-2 | RevRe/4 [1 1 -3 1-17 lo 1 1 :- Los si -2 | | R, – в, - е Į Rz > Rg - 8R2 r1 O -441-1/2 To 1 1 -12 To o oia - so we can clearly (so nee that Rank (A) & Rank (M) No volution exints) 32 = 3 Scanned with CamScanner