Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$$

A) $A ^ { - 1 } = \left[ \begin{array} { l l l } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \\ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \\ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right] \quad$

B) $A ^ { - 1 } = \left[ \begin{array} { r r r } - 3 & 10 & - 3 \\ 2 & - 4 & 1 \\ - 1 & 1 & 0 \end{array} \right]$

C) $A ^ { - 1 } = \left[ \begin{array} { c c c } - 1 & - 3 & - 2 \\ - 1 & - 3 & - 3 \\ - 2 & - 7 & - 8 \end{array} \right]$

D) $\mathrm { A } ^ { - 1 }$ does not exist.