Find the Inverse of the Matrix $$\left[ \begin{array} { c c c } 8 & 8 & 8 \\24 & 40 & 32 \\24 & 48 & 40\end{array} \right]$$

Multiple Choice

Find the inverse of the matrix $$\left[ \begin{array} { c c c } 8 & 8 & 8 \\24 & 40 & 32 \\24 & 48 & 40\end{array} \right]$$ .

A) ​ $$\frac { 1 } { 8 } \left[ \begin{array} { c c c } 1 & 1 & - 1 \\- 3 & 2 & - 1 \\3 & - 3 & 2\end{array} \right]$$
B) ​ $$\frac { 1 } { 8 } \left[ \begin{array} { c c c } 1 & 1 & 1 \\0 & - 2 & - 1 \\3 & - 3 & 2\end{array} \right]$$
C) ​ $$8 \left[ \begin{array} { c c c } 1 & 1 & 1 \\- 3 & 0 & - 1 \\3 & - 3 & 2\end{array} \right]$$
D) ​ $$- \frac { 1 } { 8 } \left[ \begin{array} { c c c } 1 & 0 & - 1 \\- 3 & 2 & - 1 \\2 & - 3 & 3\end{array} \right]$$
E) ​ $$- 8 \left[ \begin{array} { c c c } 3 & 1 & 0 \\- 3 & 1 & - 1 \\1 & - 3 & 2\end{array} \right]$$