Use the Gauss-Seidel Method with MATLAB to solve the following system:

Algorithm for Gauss-Seidel Method to solve the linear system

In matrix form is given by

initial vector

where . Here are respectively lower, diagonal and upper matrices constructed from . Implement the above algorithm in Matlab or your preferred programming language together with the following:

1. Create a data file (using a wordpad) named in your working directory with the data provided.

2. Create a Matlab program file name in the current directory to do the following:

(a) Read the input data (Matrix, vector b, number of iteration and initial condition).

(b) Display the data read in step (a).

(c) Write Matlab code to obtain L, D, U and write these matrices to a data file named .

(d) Write a function to important the above algorithm.

(e) Call the function inside the main program and write the solutions for each iteration obtained from function to the file .

4x to