Find the Inverse, If It Exists, for the Matrix $$\left[\begin{array}{rrr}2 & -1 & 0 \\3 & -2 & 0 \\-2 & 3 & 1\end{array}\right]$$

Multiple Choice

Find the inverse, if it exists, for the matrix.
- $$\left[\begin{array}{rrr}2 & -1 & 0 \\3 & -2 & 0 \\-2 & 3 & 1\end{array}\right]$$

A) $\left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & 2 & 0 \\ -5 & 4 & 1\end{array}\right]$
B) $\left[\begin{array}{rrr}1 & -1 & 0 \\ 3 & -2 & 1 \\ -5 & 4 & -1\end{array}\right]$
C) $\left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & -2 & 0 \\ -5 & 4 & -1\end{array}\right]$
D) $\left[\begin{array}{rrr}2 & -1 & 0 \\ 3 & -2 & 0 \\ -5 & 4 & 1\end{array}\right]$