Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r } - 3 & 4 \\6 & - 4\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r } - 3 & 4 \\6 & - 4\end{array} \right]$$

A)
$\left[ \begin{array} { l } \frac { 1 } { 3 } \frac { 1 } { 3 } \\ \frac { 1 } { 2 } \frac { 1 } { 4 } \end{array} \right]$
B)
$\left[ \begin{array} { l l } \frac { 1 } { 2 } & \frac { 1 } { 4 } \\ \frac { 1 } { 3 } & \frac { 1 } { 3 } \end{array} \right]$
C)
$\left[\begin{array}{ll}\frac{1}{4} & \frac{1}{3} \\\frac{1}{2} & \frac{1}{3}\end{array}\right]$
D)
$\left[\begin{array}{c}\frac{1}{3}-\frac{1}{3} \\-\frac{1}{2}-\frac{1}{4}\end{array}\right]$