Find the Inverse of the Matrix (If It Exists) $\left[ \begin{array} { c c c } 4 & 0 & 0 \\6 & 0 & 0 \\5 & 11 & 11\end{array} \right]$

Multiple Choice

Find the inverse of the matrix (if it exists) . $\left[ \begin{array} { c c c } 4 & 0 & 0 \\6 & 0 & 0 \\5 & 11 & 11\end{array} \right]$

A) $\left[ \begin{array} { c c c } - 4 & 0 & 0 \\- 6 & 0 & 0 \\5 & 4 & 11\end{array} \right]$
B) $\left[ \begin{array} { c c c } - 4 & 0 & 0 \\- 6 & 0 & 0 \\- 5 & - 4 & - 11\end{array} \right]$
C) $\left[ \begin{array} { c c c } 4 & 0 & 0 \\6 & 0 & 0 \\5 & 4 & 11\end{array} \right]$
D) $\left[ \begin{array} { c c c } - 4 & 0 & 0 \\- 6 & 0 & 0 \\- 5 & 4 & 11\end{array} \right]$
E) Does not exist