Find the Inverse, If It Exists, of the Given Matrix $\mathrm{A}=\left[\begin{array}{rr}-4 & 2 \\ 2 & -1\end{array}\right]$

Multiple Choice

Find the inverse, if it exists, of the given matrix.
- $\mathrm{A}=\left[\begin{array}{rr}-4 & 2 \\ 2 & -1\end{array}\right]$

A) $\left[\begin{array}{ll}\frac{1}{3} & \frac{2}{3} \\ \frac{1}{6} & \frac{1}{3}\end{array}\right]$
B) $\left[\begin{array}{rr}\frac{1}{6} & -\frac{1}{3} \\ -\frac{1}{3} & \frac{2}{3}\end{array}\right]$
C) No inverse
D) $\left[\begin{array}{ll}\frac{1}{6} & \frac{1}{3} \\ \frac{1}{3} & \frac{2}{3}\end{array}\right]$