Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method until 5 iterations (a) (b) 4x₁ + x₂ + 2x₂ = 16 x₁ + 3x₂ + x₂ = 10 x₁ + 2x₂ +5x3 = 12 u+3v = -1 5u+4v=6
Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method until 5 iterations (a) (b) 4x₁ + x₂ + 2x₂ = 16 x₁ + 3x₂ + x₂ = 10 x₁ + 2x₂ +5x3 = 12 u+3v = -1 5u+4v=6
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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Question b using gauss seidel method
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60abd4de-ba2d-4a53-b8fc-e1d2e0799cec%2Fa5aa5834-fddc-4a4e-8b26-d5ac2162250b%2Fdrjzvd_processed.jpeg&w=3840&q=75)
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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