If $A=\left[\begin{array}{ccc}1& -2& 2\\ 0& 2& -3\\ 3& -2& 4\end{array}\right]$, then $A\cdot \text{adj}(A)$ is equal to:

1. A
   $\left[\begin{array}{ccc}5& 1& 1\\ 1& 5& 1\\ 1& 1& 5\end{array}\right]$
2. B
   $\left[\begin{array}{ccc}5& 0& 0\\ 0& 5& 0\\ 0& 0& 5\end{array}\right]$
3. C
   $\left[\begin{array}{ccc}8& 0& 0\\ 0& 8& 0\\ 0& 0& 8\end{array}\right]$
4. D
   $\left[\begin{array}{ccc}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right]$