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