Solve the system of Example 4.6 4x - 2y - z = 40 x - 6y + 2z = -28 x - 2y + 12z = -86 by using Gauss-Seidel Method with x° = y° = z° = 3.0000. (Correct to 4D and check for accuracy). Answer (Approximate): x = 10.1094 , y = 3.8984 and z = -7.3594 Answer (Closed-Form): x = 647/64,y = 499/128 and z = -471/64

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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H.W 4.9
Solve the system of Example 4.6
4x – 2y - z = 40
x - 6y + 2z = -28
x - 2y + 12z = -86
by using Gauss-Seidel Method with x° = y° = z° = 3.0000. (Correct to 4D and check for accuracy).
Answer (Approximate): x = 10.1094 , y = 3.8984 and z = -7.3594
Answer (Closed-Form): x = 647/64,y = 499/128 and z = -471/64
Transcribed Image Text:H.W 4.9 Solve the system of Example 4.6 4x – 2y - z = 40 x - 6y + 2z = -28 x - 2y + 12z = -86 by using Gauss-Seidel Method with x° = y° = z° = 3.0000. (Correct to 4D and check for accuracy). Answer (Approximate): x = 10.1094 , y = 3.8984 and z = -7.3594 Answer (Closed-Form): x = 647/64,y = 499/128 and z = -471/64
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