) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 1.¹-norm of 1. ( Ax is less than or equal to Tol = 1x 10. Show the detailed calculation of the first 3 iterations. 10x₁ + 2x₂x₂ = 27 x₁ + x₂ + 5x3 = -21.5 -3x₁-6x₂ + 2x3 = -61.5
) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 1.¹-norm of 1. ( Ax is less than or equal to Tol = 1x 10. Show the detailed calculation of the first 3 iterations. 10x₁ + 2x₂x₂ = 27 x₁ + x₂ + 5x3 = -21.5 -3x₁-6x₂ + 2x3 = -61.5
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Answer #1
Handwritten then box the final answer
![1. (
) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 7.¹-norm of
Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations.
2.
10x₁ + 2x₂x₂ = 27
x₁ + x₂ + 5x3 = -21.5
-3x₁6x₂ + 2x3 = -61.5
Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is
less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations.
-4c₁-₁₂ + 12c₂ = 2350
15c₁3c₂-c3 = 3800
-3c₁ + 18c-6c₁ = 1200
3. (
) Use the Relaxation method to solve the following system until the 1.0-norm of Ax is less than or equal
to Tol = 0.001. Use = (a) 0.95 and (b) 1.20. Show the detailed calculation of the first 3 iterations.
18-0
1 2
6 -2
1
-2 7 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30cdd6ff-3aa0-4e68-bc2e-b46e22e4ff17%2F82d9df7f-38aa-40b8-9a01-0bb2346f6a95%2Ffi8e884_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (
) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 7.¹-norm of
Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations.
2.
10x₁ + 2x₂x₂ = 27
x₁ + x₂ + 5x3 = -21.5
-3x₁6x₂ + 2x3 = -61.5
Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is
less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations.
-4c₁-₁₂ + 12c₂ = 2350
15c₁3c₂-c3 = 3800
-3c₁ + 18c-6c₁ = 1200
3. (
) Use the Relaxation method to solve the following system until the 1.0-norm of Ax is less than or equal
to Tol = 0.001. Use = (a) 0.95 and (b) 1.20. Show the detailed calculation of the first 3 iterations.
18-0
1 2
6 -2
1
-2 7 2
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