If $A=\left[\begin{array}{rr}1 & 2 \\ 3 & -5\end{array}\right]$, then $A^{-1}$ is equal to .
(A) $\left[\begin{array}{rr}-5 & -2 \\ -3 & 1\end{array}\right]$
(B) $\left[\begin{array}{cc}\frac{5}{11} & \frac{2}{11} \\ \frac{3}{11} & -\frac{1}{11}\end{array}\right]$
(C) $\left[\begin{array}{rr}-\frac{5}{11} & -\frac{2}{11} \\ -\frac{3}{11} & -\frac{1}{11}\end{array}\right]$
(D) $\left[\begin{array}{rr}5 & 2 \\ 3 & -1\end{array}\right]$