Which of the following is true for any n×nn \times nn×n matrix AAA?
det(A)=det(AT)\det(A) = \det(A^T)det(A)=det(AT)
det(A)=det(−A)\det(A) = \det(-A)det(A)=det(−A)
det(A)=0\det(A) = 0det(A)=0 if AAA is identity
det(A)=det(A−1)\det(A) = \det(A^{-1})det(A)=det(A−1)