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Find the characteristic polynomial of the matrix a=[−83−310].

User Latece
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Assuming the matrix is


\mathbf A=\begin{bmatrix}-8&3\\-3&10\end{bmatrix}

we have characteristic polynomial given by the equation


\det(\mathbf A-\lambda \mathbf I)=0\iff\begin{vmatrix}-8-\lambda&3\\-3&10-\lambda\end{vmatrix}=0

(-8-\lambda)(10-\lambda)-(-9)=0

\lambda^2-2\lambda-71=0
User Vazque
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