Question

Starting with xT = [x1, x2, x3] = [1, 1, 1] use Gauss-Seidel iterations without relaxation to solve the following system of equations. If necessary, rearrange the equations to achieve convergence. Use percent relative error control 1% (Error_ra(%)=100*|xk-xk-1|/|xk|). Use at least 5 decimal places in your calculations.

x1 - 4x2 - x3 = -9

4x1 + x2 - x3 = 13

2x1 - 2x2 - 6x3 = -2

Please provide your answers in the boxes below.

x1=

x2=

x3=

Answer 1

Answer:

Starting with xT = [x1, x2, x3] = [1, 1, 1] use Gauss-Seidel iterations without relaxation to solve the following system of equations. If necessary, rearrange the equations to achieve convergence. Use percent relative error control 1% (Error_ra(%)=100*|xk-xk-1|/|xk|). Use at least 5 decimal places in your calculations.

x1 - 4x2 - x3 = -9

4x1 + x2 - x3 = 13

2x1 - 2x2 - 6x3 = -2