For matrix A=(1235)A = \begin{pmatrix} 1 & 2 \\ 3 & 5 \end{pmatrix}A=(1325), the cofactor matrix is C=(5−3−21)C = \begin{pmatrix} 5 & -3 \\ -2 & 1 \end{pmatrix}C=(5−2−31). Using the formula A−1=1det(A)CTA^{-1} = \frac{1}{\det(A)} C^TA−1=det(A)1CT, what is A−1A^{-1}A−1?
(−523−1)\begin{pmatrix} -5 & 2 \\ 3 & -1 \end{pmatrix}(−532−1)
(5−2−31)\begin{pmatrix} 5 & -2 \\ -3 & 1 \end{pmatrix}(5−3−21)
(1−2−31)\begin{pmatrix} 1 & -2 \\ -3 & 1 \end{pmatrix}(1−3−21)
(−1235)\begin{pmatrix} -1 & 2 \\ 3 & 5 \end{pmatrix}(−1325)