Consider the system of equations [k]g F where 2 -1 1] a) Use the MATLAB command [L,U]-lu(k) to determine the lower and upper triangular factors of [k], where k-LU b) Use forward reduction to solve the equation c) Use backward substitution to find q using[Ua F) d) Solve for q using the inverse of k, that is, q-k F e) Verify if your results for q from (c) and (d) are the same