Find the Inverse, If It Exists, for the Matrix $$\left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 5 \\0 & 7 & 0\end{array} \right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 5 \\0 & 7 & 0\end{array} \right]$$

A) The inverse does not exist.
B) $$\left[ \begin{array} { r r r } 1 & 0 & 1 \\- \frac { 1 } { 5 } & 0 & 0 \\- \frac { 1 } { 7 } & \frac { 1 } { 7 } & - \frac { 1 } { 7 }\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r } 1 & - \frac { 1 } { 5 } & - \frac { 1 } { 7 } \\0 & 0 & \frac { 1 } { 7 } \\1 & 0 & - \frac { 1 } { 7 }\end{array} \right]$$
D)
$$\left[ \begin{array} { r r r } - 1 & - \frac { 1 } { 5 } & - \frac { 1 } { 7 } \\- \frac { 1 } { 7 } & 0 & \frac { 1 } { 7 } \\1 & 0 & 0\end{array} \right]$$