Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r } - 3 & 6 \\1 & - 2\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r } - 3 & 6 \\1 & - 2\end{array} \right]$$

A)
$$\left[ \begin{array} { c c } \frac { 1 } { 16 } & \frac { 3 } { 16 } \\\frac { 1 } { 8 } & \frac { 3 } { 8 }\end{array} \right]$$

B) The inverse does not exist.

C)
$$\left[ \begin{array} { c c } \frac { 1 } { 8 } & \frac { 3 } { 8 } \\\frac { 1 } { 16 } & \frac { 3 } { 16 }\end{array} \right]$$

D)

$$\left[ \begin{array} { r r } \frac { 1 } { 8 } & - \frac { 3 } { 8 } \\- \frac { 1 } { 16 } & \frac { 3 } { 16 }\end{array} \right]$$