Recurrence Relationshard
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Given an=5an16an2a_n = 5a_{n-1} - 6a_{n-2}, express (anan1)\begin{pmatrix} a_{n} \\ a_{n-1} \end{pmatrix} as Mn(a0a1)M^n \begin{pmatrix} a_0 \\ a_{-1} \end{pmatrix}. What is the trace of matrix MM?