Given AAA and BBB are n×nn \times nn×n matrices, which of the following is always true?
det(A+B)=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(A+B) = \det(A) \cdot \det(B)det(A+B)=det(A)⋅det(B)
det(AB)=det(BA)\det(AB) = \det(BA)det(AB)=det(BA)
det(A2)=det(A)\det(A^2) = \det(A)det(A2)=det(A)