Write a code to perform an LU decomposition of the coefficient matrix [A] (given below) using L-U decomposition with Gauss elimination. Your code should output ILl and [U] as well as verify that: [A] = [L][ U ] Use the following MATLAB matrix function only to check your answer: [L, U] : l u (A) where A = [1 3 6; 4 5 8; 1 2 3 ] .