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Recurrence Relationsmedium
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A recurrence relation is represented by the matrix form (anan−1)=(3−210)(an−1an−2)\begin{pmatrix} a_{n} \\ a_{n-1} \end{pmatrix} = \begin{pmatrix} 3 & -2 \\ 1 & 0 \end{pmatrix} \begin{pmatrix} a_{n-1} \\ a_{n-2} \end{pmatrix}(an​an−1​​)=(31​−20​)(an−1​an−2​​). What is the characteristic equation of this system?