Please explain the answer in detail. Thank you!

Problem 1 a) Let 3 -1 1 Find a lower triangular matrix L, a unit upper triangular matrix U, and a permutation matrix P , such that LU - PA. Use the algorithm given in class, incorporating the partial pivoting strategy. Do it by hand computation b) Use Matlab's lu command (type help lu to learn about it) to find a unit lower triangular matrix L, an upper triangular matrix U, and a permutation matrix P such that PA- LU. To enter the matrix A into Matlab, type the following (the semicolons separate the rows): A-[1 1 3; 3 -1 1; 1 3 0]