Given the recurrence an=5an−1−6an−2a_n = 5a_{n-1} - 6a_{n-2}an=5an−1−6an−2, which matrix MMM satisfies (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}(anan−1)=M(an−1an−2)?
(5−610)\begin{pmatrix} 5 & -6 \\ 1 & 0 \end{pmatrix}(51−60)
(6−510)\begin{pmatrix} 6 & -5 \\ 1 & 0 \end{pmatrix}(61−50)
(5610)\begin{pmatrix} 5 & 6 \\ 1 & 0 \end{pmatrix}(5160)
(105−6)\begin{pmatrix} 1 & 0 \\ 5 & -6 \end{pmatrix}(150−6)