Question 3: In the Gauss-Seidel Iterative Method, when all the approximate errors of the variables X₁, X₂, and x3 are below the specified error tolerance of &, = 0.0001, what is the value of: 4x₁ + x₂ - X3 X₁ + 4x₂ + 2x3 = 20 2x₁ + x₂ + 5x3 = 14 = 16

Question 3: In the Gauss-Seidel Iterative Method, when all the approximate errors of the variables X₁, X₂, and x3 are below the specified error tolerance of &, = 0.0001, what is the value of: 4x₁ + x₂ - X3 X₁ + 4x₂ + 2x3 = 20 2x₁ + x₂ + 5x3 = 14 = 16

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter14: Numerical Methods

Section14.3: Refinements To The Bisection Method

Problem 4E

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Question

Create a MATLAB program to demonstrate the Gauss-Seidel Iterative Method such that:

It will ask to enter the matrix A, matrix b, error tolerance epsilon, and the maximum iteration (k)

2. It will display the entered matrix A, matrix b, and the error tolerance epsilon

3. It will display the approximated value of the unknown variables

4. It will display the approximate percent relative error for every variable

5.It will display the value of k

6.It will display the value of iteration

Question 3: In the Gauss-Seidel Iterative Method, when all the approximate errors of the
variables X₁, X₂, and X, are below the specified error tolerance of &, = 0.0001, what is the
value of:
4X₁ + X₂ X3 = 16
X₁ + 4x₂ + 2x3 = 20
2x₁ + x₂ + 5x3 = 14

Process by which instructions are given to a computer, software program, or application using code.

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