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a) Use LU Decomposition method and solve the following system of linear equations: x + 2y - 2z +w = 0 X +y + 4z +w = 10 2x +5y +z +w 13 3x -y -z + 6w = -7 b) Use the Gauss-Seidel method to solve the above system of linear equations, starting with x = 1, y = 1, z=1, w = -1. Show your results for 3 iterations. You can use an Excel sheet to help you in computing.

a) Use LU Decomposition method and solve the following system of linear equations: x + 2y - 2z +w = 0 X +y + 4z +w = 10 2x +5y +z +w 13 3x -y -z + 6w = -7 b) Use the Gauss-Seidel method to solve the above system of linear equations, starting with x = 1, y = 1, z=1, w = -1. Show your results for 3 iterations. You can use an Excel sheet to help you in computing.

Advanced Engineering Mathematics
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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a) Use LU Decomposition method and solve the following system of linear equations: x + 2y - 2z +w = 0 X +y + 4z +w = 10 2x +5y +z +w 13 3x -y -z + 6w = -7 b) Use the Gauss-Seidel method to solve the above system of linear equations, starting with x = 1, y = 1, z=1, w = -1. Show your results for 3 iterations. You can use an Excel sheet to help you in computing.
Transcribed Image Text:a) Use LU Decomposition method and solve the following system of linear equations: x + 2y - 2z +w = 0 X +y + 4z +w = 10 2x +5y +z +w 13 3x -y -z + 6w = -7 b) Use the Gauss-Seidel method to solve the above system of linear equations, starting with x = 1, y = 1, z=1, w = -1. Show your results for 3 iterations. You can use an Excel sheet to help you in computing.
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