Part II: Problem Solving. Solve the following: 1. Consider the linear system a. b. 7x + 7 x 2 = 1 Solve the system of linear equations using Jacobi method with L' norm with Tol = 0.001. Show the complete solution for the first 2 iterations. Show your complete table of iterations using the format below. k X1 x2 Δx Solve the system of linear equations using Gauss-Seidel method with L² norm with Tol = 0.001. Show the complete solution for the first 2 iterations. Show your complete table of iterations using the format in 1.a.

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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Part II: Problem Solving. Solve the following:
1. Consider the linear system
a.
b.
7x + 7 x 2 = 1
Solve the system of linear equations using Jacobi method with L' norm with Tol = 0.001. Show
the complete solution for the first 2 iterations. Show your complete table of iterations using the format below.
k
X1
X2
Δ.x
Solve the system of linear equations using Gauss-Seidel method with L² norm with Tol = 0.001.
Show the complete solution for the first 2 iterations. Show your complete table of iterations using the format
in 1.a.
Transcribed Image Text:Part II: Problem Solving. Solve the following: 1. Consider the linear system a. b. 7x + 7 x 2 = 1 Solve the system of linear equations using Jacobi method with L' norm with Tol = 0.001. Show the complete solution for the first 2 iterations. Show your complete table of iterations using the format below. k X1 X2 Δ.x Solve the system of linear equations using Gauss-Seidel method with L² norm with Tol = 0.001. Show the complete solution for the first 2 iterations. Show your complete table of iterations using the format in 1.a.
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