Write a computer program for solving a system of linear equations Ax=b. The program should have the following features: Input: The program should read the following inputs from a text file-(i) the number of equations (n), (ii) elements of the augmented matrix. [Please see an example of input data file below]. Options: The user should have the option of selecting one of the following methods- a. Gauss elimination (GE; without pivoting) b. GE (with pivoting) c. GE (with scaling and pivoting) d. LU decomposition by using GE (without pivoting) e. LU decomposition by using GE (with pivoting) f. LU decomposition by using Crout method (without pivoting) Output: The output from the program should be written in a text file. This file should contain the following results for different methods- a. GE: the unknowns x, the permutation matrix (if pivoting is done), and the elements of U b. LU by GE: the unknowns x, the permutation matrix (if pivoting is done), and the elements of L and U c. LU by Crout method: the unknowns x and the elements of L and U