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

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

Section: Chapter Questions

Problem 1RQ

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Question

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 $x_{1} = x, x_{2} = y, x_{3} = z$

system of equation is:

$2 x - y + z = - 1 3 x + 3 y + 9 z = 0 3 x + 3 y + 5 z = 4$

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

Step by step

Solved in 3 steps

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