What is the approximate value of x in the system a+3y+522z = 173.61 - 27y+2z 71.31 41x - 2y +3z = 65.46 after three iterations of Gauss-Seidel Method with initial estimates of a = 1, y = -1, z = 3. 1.22999 1.32829 1.22856 O 1.23000

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 20EQ
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What is the approximate value of x in the
system
x + 3y + 52z = 173.61
x – 27y + 2z = 71.31
41x – 2y +3z 65.46
after three iterations of Gauss-Seidel
Method with initial estimates of
x = 1, y = -1, z = 3.
1.22999
1.32829
1.22856
1.23000
Transcribed Image Text:What is the approximate value of x in the system x + 3y + 52z = 173.61 x – 27y + 2z = 71.31 41x – 2y +3z 65.46 after three iterations of Gauss-Seidel Method with initial estimates of x = 1, y = -1, z = 3. 1.22999 1.32829 1.22856 1.23000
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