Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$

A) The inverse does not exist.

B) $\left[\begin{array}{c}\frac{1}{3}-\frac{1}{6} \\-\frac{2}{9} \quad \frac{1}{9}\end{array}\right]$
C)
$$\left[ \begin{array} { l l } \frac { 2 } { 9 } & \frac { 1 } { 9 } \\\frac { 1 } { 3 } & \frac { 1 } { 6 }\end{array} \right]$$
D)
$$\left[ \begin{array} { l l } \frac { 1 } { 3 } & \frac { 1 } { 6 } \\\frac { 2 } { 9 } & \frac { 1 } { 9 }\end{array} \right]$$