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Recurrence Relationsmedium
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A recurrence relation is defined by an=4an−1−3an−2a_n = 4a_{n-1} - 3a_{n-2}an​=4an−1​−3an−2​. Which of the following is an equivalent representation using a matrix shift operator MMM such that (anan−1)=M(an−1an−2)\begin{pmatrix} a_n \\ a_{n-1} \end{pmatrix} = M \begin{pmatrix} a_{n-1} \\ a_{n-2} \end{pmatrix}(an​an−1​​)=M(an−1​an−2​​)?