3. Carry out the first three iterations of the Jacobi's Method and Gauss-Siedel Method for the following systems using X(0) = (0,0,0)*: 1 (a) 2x1 – x2 + x3 = -1 3x1 + 3x2 + 9x3 = 0 3x1 + 3x2 + 5x3 = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Carry out the first three iterations of the Jacobi's Method and Gauss-Siedel
Method for the following systems using X(0 = (0, 0, 0)':
1
(a) 2x1 – x2 + x3 = -1
3.x1 + 3x2 + 9x3 = 0
3x1 + 3x2 + 5x3 = 4
Transcribed Image Text:3. Carry out the first three iterations of the Jacobi's Method and Gauss-Siedel Method for the following systems using X(0 = (0, 0, 0)': 1 (a) 2x1 – x2 + x3 = -1 3.x1 + 3x2 + 9x3 = 0 3x1 + 3x2 + 5x3 = 4
Expert Solution
Step 1

we take x1=x,  x2=y,  x3=z

system of equation is:

2x-y+z=-1  3x+3y+9z=0  3x+3y+5z=4

first we will do the three iterations of Jacobi method then we will do the three iterations of Gauss-Siedel method

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