Find the Inverse, If It Exists, of the Given Matrix $\mathrm{A}=\left[\begin{array}{rr}3 & 6 \\ -5 & 6\end{array}\right]$

Multiple Choice

Find the inverse, if it exists, of the given matrix.
- $\mathrm{A}=\left[\begin{array}{rr}3 & 6 \\ -5 & 6\end{array}\right]$

A) $\left[\begin{array}{cc}\frac{1}{16} & -\frac{1}{8} \\ \frac{5}{48} & \frac{1}{8}\end{array}\right]$
B) $\left[\begin{array}{cc}\frac{5}{48} & \frac{1}{16} \\ \frac{1}{8} & -\frac{1}{8}\end{array}\right]$
C) $\left[\begin{array}{cc}\frac{1}{8} & -\frac{1}{8} \\ \frac{5}{48} & \frac{1}{16}\end{array}\right]$
D) $\left[\begin{array}{cc}\frac{1}{8} & \frac{1}{8} \\ -\frac{5}{48} & \frac{1}{16}\end{array}\right]$