Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1

In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1

Linear Algebra: A Modern Introduction
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 25EQ
See similar textbooks
icon
Related questions
Question
Please answer number 12
In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1
Transcribed Image Text:In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS