Q1: Consider that, we have the following linear system 4x4 2x₁ + x2x3 + 5x4 = 0 = 2 = 1 X1 +2x3-X4 X₁ + 4x₂ + x3 + x4 3x₁ + x₂ + x3 - X4 = 3 a. Make sure that, the diagonal control condition is satisfied, b. Use Gauss-Sidel method to find the approximate solution for two iterative step (x(1), x(2)), with considering x(0) = (0,-1,1,2).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 1CYU
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Q1: Consider that, we have the following linear system 4x4
2x₁1 + x2x3 + 5x4
+ 2x3-X4
X1
X₁ + 4x₂ + x3 + x4
3x₁ + x₂ + x3 - X4
= 0
= 2
= 1
c. Compute the iterative errors, at each step.
d. What is the stop condition?
= 3
a. Make sure that, the diagonal control condition is satisfied,
b. Use Gauss-Sidel method to find the approximate solution for two iterative
step (x(1), x(2)), with considering x(0) = (0,-1,-, 2).
2
Transcribed Image Text:Q1: Consider that, we have the following linear system 4x4 2x₁1 + x2x3 + 5x4 + 2x3-X4 X1 X₁ + 4x₂ + x3 + x4 3x₁ + x₂ + x3 - X4 = 0 = 2 = 1 c. Compute the iterative errors, at each step. d. What is the stop condition? = 3 a. Make sure that, the diagonal control condition is satisfied, b. Use Gauss-Sidel method to find the approximate solution for two iterative step (x(1), x(2)), with considering x(0) = (0,-1,-, 2). 2
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