Consider the given system of linear equations as shown: 5x - 2y + z = 8 -X + 6y + 3z = -3 x -3y + 5z = 4 Perform the first three iterations of Gauss-Seidel method in solving this system Use (x, y, z) = (0, 0, 0) as your initial (guess) solution. Present your answer (with values at five decimal places) as a table, formatted as follows: Мах. Аpprox. Iteration Previous Sol'n. Improved Sol'n. Error 1 guess solution 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2BEXP
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Consider the given system of linear equations as shown:
5x - 2y + z = 8
-X + 6y + 3z = -3
X -3y + 5z = 4
Perform the first three iterations of Gauss-Seidel method in solving this system.
Use (x, y, z) = (0, 0, 0) as your initial (guess) solution. Present your answer (with
values at five decimal places) as a table, formatted as follows:
Мах. Аpprox.
Iteration
Previous Sol'n.
Improved Sol'n.
Error
1
guess solution
3.
Transcribed Image Text:Consider the given system of linear equations as shown: 5x - 2y + z = 8 -X + 6y + 3z = -3 X -3y + 5z = 4 Perform the first three iterations of Gauss-Seidel method in solving this system. Use (x, y, z) = (0, 0, 0) as your initial (guess) solution. Present your answer (with values at five decimal places) as a table, formatted as follows: Мах. Аpprox. Iteration Previous Sol'n. Improved Sol'n. Error 1 guess solution 3.
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