Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r l } - 4 & 2 \\4 & 0\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r l } - 4 & 2 \\4 & 0\end{array} \right]$$

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

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

C)
$$\left[ \begin{array} { c } 0 \frac { 1 } { 4 } \\\frac { 1 } { 2 } \frac { 1 } { 2 }\end{array} \right]$$

D)
$$\left[ \begin{array} { r r } 0 & - \frac { 1 } { 4 } \\- \frac { 1 } { 2 } & \frac { 1 } { 2 }\end{array} \right]$$