Consider the following linear system Ax = b, where A is the following matrix A = 022 1 4 5 0 2 4 4 0 1 1 -3 -5 0 (a) Using the partial pivoting strategy, determine the PLU decomposition of the matrix A, such that PALU. (Show each step in the decomposition.) (b) Use the PLU decomposition found in (a) to find the solution to Ax = [2, 2,0,1]. Show all relevant steps.