If A=(3003)A = \begin{pmatrix} 3 & 0 \\ 0 & 3 \end{pmatrix}A=(3003), what is A−1A^{-1}A−1?
(−300−3)\begin{pmatrix} -3 & 0 \\ 0 & -3 \end{pmatrix}(−300−3)
(1001)\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}(1001)
(130013)\begin{pmatrix} \frac{1}{3} & 0 \\ 0 & \frac{1}{3} \end{pmatrix}(310031)
(3003)\begin{pmatrix} 3 & 0 \\ 0 & 3 \end{pmatrix}(3003)