Let $\mathrm{A}=\left[\begin{array}{ccc}2& 1& 2\\ 6& 2& 11\\ 3& 3& 2\end{array}\right]$ and $\mathrm{P}=\left[\begin{array}{lll}1& 2& 0\\ 5& 0& 2\\ 7& 1& 5\end{array}\right]$. The sum of the prime factors of $\left|{\mathrm{P}}^{-1}\mathrm{AP}-2\mathrm{I}\right|$ is equal to

Which of the following matrix is invertible? $A_1=\left[\begin{array}{rr}4& 2\\ 2& 1\end{array}\right]$, $A_2=\left[\begin{array}{ccc}-1& -2& 3\\ 4& 5& 7\\ 2& 4& -6\end{array}\right]$, $A_3=\left[\begin{array}{ccc}1& 0& 0\\ 5& 2& 1\\ 7& 2& 1\end{array}\right]$, $A_4=\left[\begin{array}{lll}1& 0& 1\\ 0& 2& 3\\ 1& 2& 1\end{array}\right]$.