Find the Inverse of A $$A = \left[ \begin{array} { c c c } - 4 & 12 & 4 \\8 & 20 & 0 \\12 & 4 & - 8\end{array} \right]$$

Multiple Choice

Find the inverse of A.​ $$A = \left[ \begin{array} { c c c } - 4 & 12 & 4 \\8 & 20 & 0 \\12 & 4 & - 8\end{array} \right]$$ ​

A) ​ $$A ^ { - 1 } = \frac { 1 } { 36 } \left[ \begin{array} { c c c } 10 & 7 & 5 \\4 & - 1 & 2 \\- 13 & 10 & - 11\end{array} \right]$$
B) ​ $$A ^ { - 1 } = \frac { 1 } { 24 } \left[ \begin{array} { c c c } 10 & 7 & 5 \\4 & 1 & 2 \\13 & 10 & 11\end{array} \right]$$
C) ​ $$A ^ { - 1 } = \frac { 1 } { 28 } \left[ \begin{array} { c c c } - 10 & 7 & - 5 \\4 & - 1 & 2 \\- 13 & 10 & - 11\end{array} \right]$$
D) ​ $$A ^ { - 1 } = \frac { 1 } { 36 } \left[ \begin{array} { c c c } - 10 & 7 & - 5 \\4 & - 1 & 2 \\- 13 & 10 & - 11\end{array} \right]$$
E) ​ $$A ^ { - 1 } = \frac { 1 } { 28 } \left[ \begin{array} { c c c } 10 & 7 & 5 \\4 & 1 & 2 \\13 & 10 & 11\end{array} \right]$$