Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { l l } - 2 & 6 \\- 3 & 6\end{array} \right]$$

A)
$\left[ \begin{array} { r r } \frac { 1 } { 2 } & - \frac { 1 } { 3 } \\ 1 & - 1 \end{array} \right]$

B)
$\left[ \begin{array} { c c } 1 & - 1 \\ \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]$

C)
$\left[ \begin{array} { c c } 1 & 1 \\ - \frac { 1 } { 2 } & - \frac { 1 } { 3 } \end{array} \right]$

D)
$\left[\begin{array}{cc}-\frac{1}{3} & -1 \\\frac{1}{2} & 1\end{array}\right]$