Find the Inverse of the Matrix If It Exists $$\left[ \begin{array} { l l l } 2 & 0 & 0 \\0 & 9 & 0 \\0 & 0 & 8\end{array} \right]$$

Multiple Choice

Find the inverse of the matrix if it exists. $$\left[ \begin{array} { l l l } 2 & 0 & 0 \\0 & 9 & 0 \\0 & 0 & 8\end{array} \right]$$

A) $$\left[ \begin{array} { c c c } 1 & \frac { 1 } { 9 } & 1 \\\frac { 1 } { 8 } & 0 & - 2 \\0 & 1 & \frac { 1 } { 2 }\end{array} \right]$$
B) $$\left[ \begin{array} { c c c } \frac { 1 } { 2 } & 0 & 0 \\0 & \frac { 1 } { 9 } & 0 \\0 & 0 & \frac { 1 } { 9 }\end{array} \right]$$
C) $$\left[ \begin{array} { c c c } 0 & 0 & \frac { 1 } { 2 } \\0 & \frac { 1 } { 8 } & 0 \\\frac { 1 } { 9 } & 0 & 0\end{array} \right]$$
D) $$\left[ \begin{array} { c c c } \frac { 1 } { 2 } & 0 & 0 \\0 & \frac { 1 } { 9 } & 0 \\0 & 0 & \frac { 1 } { 8 }\end{array} \right]$$
E) Does not exist