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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question d using gauss seidel
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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