Find the Inverse of a If It Has One, or State

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { l l l } 1 & 1 & 1 \\2 & 1 & 1 \\2 & 2 & 3\end{array} \right]$$

A) Inverse does not exist
B)
$$\left[ \begin{array} { r r r } - 1 & 1 & 0 \\4 & - 1 & - 1 \\- 2 & 0 & 1\end{array} \right]$$
C)
$\left[\begin{array}{ccc}1 & 1 & 1 \\\frac{1}{2} & 1 & 1 \\\frac{1}{2} & \frac{1}{2} & \frac{1}{3}\end{array}\right]$

D)
$\left[\begin{array}{rrr}-1 & -1 & -1 \\-2 & -1 & -1 \\-2 & -2 & -3\end{array}\right]$