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$$A = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -\lambda & c & 0\end{bmatrix}$$ $\begin{vmatrix} -\lambda & 1 & 0 \\ 0 & -\lambda & 1 \\ -\lambda & c & -\lambda\end{vmatrix} = 0$ $$-\lambda( \begin{vmatrix}-\lambda & 1 \\ c & -\lambda\end{vmatrix}) + 1(\begin{vmatrix}0 & 1 \\ -\lambda & -\lambda\end{vmatrix}) = 0$$ $$-\lambda(\lambda^2 - c) + \lambda = 0$$
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Mon, 07 Aug 2023 23:33 GMT