Solve the system x+ 4y + 72 = 10 4x + 8y +42 8 10x + 3y - 22 10 by using Jacobi Method with x°= y°= 2°= 0.0000. (Correct to 4D and check for accuracy).
Solve the system x+ 4y + 72 = 10 4x + 8y +42 8 10x + 3y - 22 10 by using Jacobi Method with x°= y°= 2°= 0.0000. (Correct to 4D and check for accuracy).
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 6EQ
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Numerical Analysis
Almustsfs University College
Chapter 3
SYSTEMS OF LINEAR EQUATIONS
THE JACOBI MЕТНОD
H.W 4.4
Solve the system
x+ 4y + 7z = 10
4x + 8y + 4z = 8
10x + 3y – 2z = 10
by using Jacobi Method with x° = y° = 2° = 0.0000. (Correct to 4D and check for accuracy).
Answer (Approximate): x = 1.4359. y = -0.4615 and z = 1.4872
Answer (Closed-Form): x = 56/39, y a -6/13 and z = 58/39
H.W 4.5
Solve the system
2x + 8y - z= 11
Sx - y +z= 10
-x +y+ 4z = 3
by using Jacobi Method with x = y° = z° 0.0000. (Correct to 40 and check for accuracy).
Answer:x = 2, y = 1 and z = 1
H.W 4.6
Solve the system
x- 5y - z= -8
4x + y -z = 13
2x - y -- 6z = -2
by using Jacobi Method with x = y° = 2° = 5.0000. (Correct to 40 and check for accuracy).
Answer: x= 3,y = 2 and z- 1
Numerical Analysis
Almustsfs University College
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