Let A be a 4 × 4 matrix with real entries such that -1, 1, 2, -2 are its eigen values. If B = A4 - 5A2 + 5I where I denotes 4 × 4 identity matrix, then which of the following is correct? (det(X) represents determinant of X)
(A) det(A + B) = 0
(B) det(B) = 1
(C) trace of A + B is 4
(D) all of these