For a given system of equations the following set of relationships are developed: 2-412-213 8. 1-2 1-I4 x2 = 7-4x2-714 x3 = 3-411-823 X4 = 4. Using a Gauss-Seidel iteration technique, what will be the x3 element in the new solution vector if the previous solution vector is x {3.4, 2.1, 1.4, 6.3 }? Input your solution to three decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3BEXP
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For a given system of equations the following set of relationships are developed:
2-4T2-213
1-21-I4
X2 =
6
7-4x2-714
x3 =
3-471-873
X4 =
4.
Using a Gauss-Seidel iteration technique, what will be the x3 element in the new solution vector if
the previous solution vector is x = { 3.4, 2.1, 1.4, 6.3 }? Input your solution to three decimal places.
Transcribed Image Text:For a given system of equations the following set of relationships are developed: 2-4T2-213 1-21-I4 X2 = 6 7-4x2-714 x3 = 3-471-873 X4 = 4. Using a Gauss-Seidel iteration technique, what will be the x3 element in the new solution vector if the previous solution vector is x = { 3.4, 2.1, 1.4, 6.3 }? Input your solution to three decimal places.
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