4x₁ + x₂ + 2x₂ = 16 x₁ + 3x₂ + x3 = 10 x₁ + 2x₂ +5x3 = 12

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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Please do for the gauss seidel part
Find the solution of the following equations using the Jacobi and Gauss Seidel iteration
method until 5 iterations
(a)
(b)
(c)
(d)
4x₁ + x₂ + 2x₂ = 16
x₁ + 3x₂ + x₂ = 10
x₁ + 2x₂ +5x3 = 12
u+3v=-1
5u+4v=6
u-8v-2w=1
u+v+5w = 4
3u-v+w=-2
u+4v=5
v+2w=2
4u+3w=0
h
Transcribed Image Text:Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method until 5 iterations (a) (b) (c) (d) 4x₁ + x₂ + 2x₂ = 16 x₁ + 3x₂ + x₂ = 10 x₁ + 2x₂ +5x3 = 12 u+3v=-1 5u+4v=6 u-8v-2w=1 u+v+5w = 4 3u-v+w=-2 u+4v=5 v+2w=2 4u+3w=0 h
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