Find the first two iterations of the Jacobi method for the following linear systems, using x 4x1 + x2 - x3 = 5, 2. = 0: -X1 + 3x2 + xX3 = -4, 2x1 + 2x2 + 5x3 = 1. Problem 5 Use Gauss-Seidel to find two iterations of the system in Problem 4.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
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Section 7.3
Problem 4
2. Find the first two iterations of the Jacobi method for the following linear systems, using x
= 0:
4x1 + x2 - x3 = 5,
-X1 + 3x2 + x3 = -4,
2x1 + 2x2 + 5x3 = 1.
Problem 5
Use Gauss-Seidel to find two iterations of the system in Problem 4.
Transcribed Image Text:Section 7.3 Problem 4 2. Find the first two iterations of the Jacobi method for the following linear systems, using x = 0: 4x1 + x2 - x3 = 5, -X1 + 3x2 + x3 = -4, 2x1 + 2x2 + 5x3 = 1. Problem 5 Use Gauss-Seidel to find two iterations of the system in Problem 4.
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