Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 1.2) to solve the following system to a tolerance of S =

Use the Gauss-Seidel method

(a) Without relaxation and

(b) With relaxation (λ = 1.2) to solve the following system to a tolerance of εS = 5%. If necessary, rearrange the equations to achieve convergence.

2x1 – 6x2 – x3 = – 38

–3x1 – x2 + 7x3 = –34

–8x1 + x2 – 2x3 = – 20