Given (a) Solve the system Ax = b using complete pivoting. (b) Let P be the permutation

Question:

Given

(a) Solve the system Ax = b using complete pivoting.
(b) Let P be the permutation matrix determined by the pivot rows and let Q be the permutation matrix determined by the pivot columns. Factor PAQ into a product LU.
(c) Use the LU factorization from part (b) to solve the system Ax = c.