Please answer fully and clearly using MatLab

Problem 1 PA-LU factorization of square matrices For this problem, you will find by hand three square matrices P,L, U of the same size as a given matrix A, such that You will then compare your results to their computational counterparts, found by the Matlab lu function. Find the PA = Lu factorization of each of the matrices 1 2 3 (b) A2=12 4 2 (a) Al=12 1-11 such that In your prob1, find P1, P2, Li, L2, U, Uz given by the lu function and compare them to the ones you found by hand. Write your observations as comments in prob1(). Problem 1 PA-LU factorization of square matrices For this problem, you will find by hand three square matrices P,L, U of the same size as a given matrix A, such that You will then compare your results to their computational counterparts, found by the Matlab lu function. Find the PA = Lu factorization of each of the matrices 1 2 3 (b) A2=12 4 2 (a) Al=12 1-11 such that In your prob1, find P1, P2, Li, L2, U, Uz given by the lu function and compare them to the ones you found by hand. Write your observations as comments in prob1()