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