Magnificent Matrix Quadratic

Level pending

Let \(\textbf M =\left(\begin{matrix}0&3\\2&-1\end{matrix}\right)\)

The constants \(a\) and \(b\) satisfy this equation: \[\textbf M^2+a\textbf M+b\textbf I=\textbf O\] Where \(\textbf I = \left(\begin{matrix}1&0\\0&1\end{matrix}\right)\) and \(\textbf O = \left(\begin{matrix}0&0\\0&0\end{matrix}\right)\).

Find the value of \(ab\).

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