If $\det(A) = -3$ for a $3 \times 3$ matrix, which of the following statements are TRUE? (Select all that apply)\n\n(i) $\det(A^T) = -3$\n\n(ii) $\det(A^{-1}) = \frac{1}{3}$\n\n(iii) $\det(3A^T) = -81$\n\n(iv) $\det(-A) = 3$