Perform PA : LU factorization for solving linear system using Gauss elimination with pivoting of the following matrix where P is the permutation matrix. The matrices P and U are: 010 (a) P: 00 1 (3:) U: 100 CDCJNJ own: 42-42-13: (A) Both (a) and (b) are valid. (B) (a) is valid and (b) is invalid. (C) (a) is invalid and (b) is valid. (D) Both (a) and (b) are invalid. O (A) O (B) O (C) O (D) Perform PA = LU factorization for solving linear system using Gauss elimination with pivoting of the following matrix -3 A = 0 where P is the permutation matrix. Matrix L is 1 0 0 (A) -1/2 1 0 1/2 0 1 1 0 0 (B) 1/2 1 0 -1/2 O 0 (C) 1 1 0 0 1 1 0 0 (D 2 0 1 0 1 (E) none of the above O (A) O ( B ) O (C ) O ( D ) O (E)