Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r r } 0 & 5 & 5 \\- 5 & 0 & 5 \\0 & 8 & 0\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r r } 0 & 5 & 5 \\- 5 & 0 & 5 \\0 & 8 & 0\end{array} \right]$$

A)
$$\left[ \begin{array} { r r r } \frac { 1 } { 5 } & 0 & \frac { 1 } { 5 } \\- \frac { 1 } { 5 } & 0 & 0 \\- \frac { 1 } { 8 } & \frac { 1 } { 8 } & - \frac { 1 } { 8 }\end{array} \right]$$
B)
$$\left[ \begin{array} { r r r } \frac { 1 } { 5 } & - \frac { 1 } { 5 } & - \frac { 1 } { 8 } \\0 & 0 & \frac { 1 } { 8 } \\\frac { 1 } { 5 } & 0 & - \frac { 1 } { 8 }\end{array} \right]$$
C) The inverse does not exist.
D)
$$\left[ \begin{array} { c c c } - \frac { 1 } { 5 } & - \frac { 1 } { 5 } & - \frac { 1 } { 8 } \\- \frac { 1 } { 8 } & 0 & \frac { 1 } { 8 } \\\frac { 1 } { 5 } & 0 & 0\end{array} \right]$$