12 7 3 22 For 1 5 2 7 -11 || X3 1 7 and using [x, x, x3]=[1 2 1] as the initial guess, give the - 2 values of [x x, x3] at the end of the fifth iteration in the Gauss-Jacobi and Gauss-Seidel method. Note: No need to include the manual solution

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 21EQ
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12 7
3
22
1. For| 1
5
1
x, = 7 and using x,
x, x3=1 2 1 as the initial guess, give the
2
7 -11 || X3
-2
values of x x, x at the end of the fifth iteration in the Gauss-Jacobi and Gauss-Seidel
method.
Note: No need to include the manual solution
Iteration
1
5
2
X1
X2
X3
Transcribed Image Text:12 7 3 22 1. For| 1 5 1 x, = 7 and using x, x, x3=1 2 1 as the initial guess, give the 2 7 -11 || X3 -2 values of x x, x at the end of the fifth iteration in the Gauss-Jacobi and Gauss-Seidel method. Note: No need to include the manual solution Iteration 1 5 2 X1 X2 X3
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