Find the Inverse of a If It Has One, or State

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { r r r } - 2 & 0 & 2 \\2 & 4 & 6 \\- 3 & - 1 & 1\end{array} \right]$$

A)
$$\left[ \begin{array} { c c c } - \frac { 1 } { 2 } & 0 & 1 \\0 & \frac { 1 } { 4 } & 0 \\1 & 0 & 1\end{array} \right]$$
B)

$$\left[ \begin{array} { c c c } - \frac { 1 } { 2 } & 0 & 0 \\0 & \frac { 1 } { 4 } & 0 \\0 & 0 & 1\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r } - \frac { 1 } { 2 } & 0 & \frac { 1 } { 2 } \\\frac { 1 } { 2 } & \frac { 1 } { 4 } & \frac { 1 } { 6 } \\- \frac { 1 } { 3 } & - 1 & 1\end{array} \right]$$
D) $\text { Inverse does not exist }$