Question: Let \(A\) be a 3x3 matrix and

\[A\left[ \begin{matrix} 7 \\ 2 \\ 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 0 \\ 0 \\ 0 \\ \end{matrix} \right]\]

Is it possible that \(\det \left( {{A}^{2}}+A \right)=\pi \) ?