1- Given the following system: 0.2a+B-0.2y 1, 0.3a-0.28+0.5y=0.6, 0.9a-0.2B+0.6y=1.3. Solve it by using Gauss-Siedel method. (Take B=y =0 and do only five iterations). [1.0147871 Ans.: 0.9912361 0.987622 →1 2- Given the following system: 2a +2-5y =5, 10B+9y 29, 8a - 28+ 5y = 25. Solve it, numerically, using Gauss-Siedel iteration method. Ans.:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 6PS
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Question
Numerical Solution of Set
of Algebraic Equations
1- Given the following system:
0.2a+B-0.2y 1,
0.3a-0.2B+0.5y 0.6.
0.9a-0.28+0.6y =1.3.
Solve it by using Gauss-Siedel method. (Take B =y =0 and do only five
iterations).
[1.0147871]
Ans.:
0.991236→1
[0.987622→1]
2- Given the following system:
2a + 28-5y 5,
10B+9y = 29,
8a - 28+ 5y = 25.
Solve it, numerically, using Gauss-Siedel iteration method.
Ans.:
Transcribed Image Text:Numerical Solution of Set of Algebraic Equations 1- Given the following system: 0.2a+B-0.2y 1, 0.3a-0.2B+0.5y 0.6. 0.9a-0.28+0.6y =1.3. Solve it by using Gauss-Siedel method. (Take B =y =0 and do only five iterations). [1.0147871] Ans.: 0.991236→1 [0.987622→1] 2- Given the following system: 2a + 28-5y 5, 10B+9y = 29, 8a - 28+ 5y = 25. Solve it, numerically, using Gauss-Siedel iteration method. Ans.:
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