Problem on Gauss Elimination" A set of linear equations are given below. 4u + 4u + 2w = 6, Write a matrix in the form A X - B where X - [u v w] In Gaussian elimination method an augmented matrix Aa = [A B] is reduced into upper triangular matrix using a series of row operations. Here X and B are column vectors. Write a MATLAB seript and solvefor the unkcnow varables and w using Caussian elimination and "back-substitution" method. In the class yesterday, you learned about (Ei, E2, Es) elementary row operation matrices that will perform scaling operation, interchange of rows, and a combination operation called replacement operation. Develop appropriate row operation matrices to implement Gaussian elimination method with MATLAB. Note you may combine two elementary operation matrices Esa and Esb into a single row operation matrix M = E' E3b. An algorithm for implementing "back-substitution" method is given below: Algorithm Back-Substitution for Upper Triangular System ( loop backwards over columns f stop if matrix is singular ) ( compute solution component h for J n to 1 if tw = 0 then stop for t = 1 to J-1 ( update right-hand side ) bi = bi-uijXj end end