Starting with xT = [x1, x2, x3] = [2, 2, 2] 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 - 5x2 - x3 = -8 3x1 + x2 - x3 = 12 2x1 - x2 - 6x3 = -3 Please provide your answers in the boxes below. x%= x2= x3=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Starting with xT = [x1, x2, x3] = [2, 2, 2] 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 - 5x2 - x3 = -8
3x1 + x2 - x3 = 12
2x1 - x2 - 6x3 = -3
Please provide your answers in the boxes below.
x1=
x2=
x3=
Transcribed Image Text:Starting with xT = [x1, x2, x3] = [2, 2, 2] 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 - 5x2 - x3 = -8 3x1 + x2 - x3 = 12 2x1 - x2 - 6x3 = -3 Please provide your answers in the boxes below. x1= x2= x3=
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