Which property of determinants is true for any n×nn \times nn×n matrices AAA and BBB?
det(A+B)=det(A)+det(B)\det(A+B) = \det(A) + \det(B)det(A+B)=det(A)+det(B)
det(AB)=det(A)det(B)\det(AB) = \det(A) \det(B)det(AB)=det(A)det(B)
det(AT)=−det(A)\det(A^T) = -\det(A)det(AT)=−det(A)
det(kA)=kdet(A)\det(kA) = k \det(A)det(kA)=kdet(A)