Use the Matrix Capabilities of a Graphing Utility to Find $\left[ \begin{array} { c c c c } 3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12 \\3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12\end{array} \right]$

Use the matrix capabilities of a graphing utility to find the inverse of the matrix $\left[ \begin{array} { c c c c } 3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12 \\3 & 1 & 9 & 1 \\- 3 & 6 & - 3 & 12\end{array} \right]$ (if it exists) .

A) $- \frac { 1 } { 6 } \left[ \begin{array} { c c c c } 0 & 3 & 6 & 1 \\- 1 & 12 & 0 & 6 \\- 3 & 1 & - 9 & 0 \\- 3 & - 3 & - 1 & 12\end{array} \right]$
B) $- \frac { 1 } { 6 } \left[ \begin{array} { c c c c } 0 & - 3 & 9 & 1 \\1 & 12 & 0 & 6 \\- 3 & 1 & - 9 & 0 \\- 2 & 3 & 1 & - 12\end{array} \right]$
C) $\frac { 1 } { 3 } \left[ \begin{array} { c c c c } 0 & 3 & 6 & 1 \\- 1 & 12 & 0 & 6 \\- 3 & 1 & - 9 & 0 \\- 3 & - 3 & - 1 & 12\end{array} \right]$
D) $- \frac { 1 } { 3 } \left[ \begin{array} { c c c c } 0 & - 3 & 9 & 1 \\1 & 12 & 0 & 6 \\- 3 & 1 & - 9 & 0 \\- 2 & 3 & 1 & - 12\end{array} \right]$
E) does not exist