Consider the matrix A in its LU decomposed form denoted by Alu. Given a matrix Alu and a vector b as an input: write a program to solve linear system Ax = b. You have to solve using Lg=b and Ux=g euations. Count the number of multiply operations involved (should be much better than O(n^3)). Run program on Alu = [1,1,-1;1,1,-1;-2,3,2] and b=[1;1;2]