If det(A)=5\det(A) = 5det(A)=5 for a 2×22 \times 22×2 matrix AAA, find det((A−1)T)\det\left((A^{-1})^T\right)det((A−1)T).
15\frac{1}{5}51
555
125\frac{1}{25}251
252525