If AAA and BBB are n×nn \times nn×n matrices, which of the following is true?
det(AB)=det(A)det(B)\det(AB) = \det(A)\det(B)det(AB)=det(A)det(B)
det(A+B)=det(A)+det(B)\det(A+B) = \det(A) + \det(B)det(A+B)=det(A)+det(B)
(AB)T=BTAT(AB)^T = B^T A^T(AB)T=BTAT
(A+B)T=AT+BT(A+B)^T = A^T + B^T(A+B)T=AT+BT