Let A=(5005)A = \begin{pmatrix} 5 & 0 \\ 0 & 5 \end{pmatrix}A=(5005). Which of the following is equal to A−1A^{-1}A−1?
(150015)\begin{pmatrix} \frac{1}{5} & 0 \\ 0 & \frac{1}{5} \end{pmatrix}(510051)
(5005)\begin{pmatrix} 5 & 0 \\ 0 & 5 \end{pmatrix}(5005)
(−500−5)\begin{pmatrix} -5 & 0 \\ 0 & -5 \end{pmatrix}(−500−5)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)