If AAA and BBB are n×nn \times nn×n matrices, which of the following is NOT necessarily 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)
det(AT)=det(A)\det(A^T) = \det(A)det(AT)=det(A)
det(A−1)=1det(A)\det(A^{-1}) = \frac{1}{\det(A)}det(A−1)=det(A)1