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.
- $$A = \left[ \begin{array} { l l } - 5 & 0 \\- 2 & 4\end{array} \right]$$

A) $\left[ \begin{array} { c c } \frac { 1 } { 5 } & 0 \\ - \frac { 1 } { 10 } & \frac { 1 } { 4 } \end{array} \right]$
B)
$$\left[ \begin{array} { r r } \frac { 1 } { 4 } & 0 \\- \frac { 1 } { 10 } & - \frac { 1 } { 5 }\end{array} \right]$$
C) Inverse does not exist
D)
$$\left[ \begin{array} { c c } - \frac { 1 } { 5 } & 0 \\\frac { 1 } { 10 } & \frac { 1 } { 4 }\end{array} \right]$$