Find the Inverse, If It Exists, of the Given Matrix $\mathrm{A}=\left[\begin{array}{rr}0 & 5 \\ -5 & 2\end{array}\right]$

Multiple Choice

Find the inverse, if it exists, of the given matrix.
- $\mathrm{A}=\left[\begin{array}{rr}0 & 5 \\ -5 & 2\end{array}\right]$

A) $\left[\begin{array}{cc}\frac{2}{25} & -\frac{1}{5} \\ \frac{1}{5} & 0\end{array}\right]$
B) $\left[\begin{array}{cc}\frac{2}{25} & \frac{1}{5} \\ -\frac{1}{5} & 0\end{array}\right]$
C) $\left[\begin{array}{cc}\frac{1}{5} & 0 \\ \frac{2}{25} & -\frac{1}{5}\end{array}\right]$
$$\left[\begin{array}{cc}0 & -\frac{1}{5} \\\frac{1}{5} & \frac{2}{25}\end{array}\right]$$