Let λ 1 {\displaystyle \lambda _{1}} and λ 2 {\displaystyle \lambda _{2}} denote the two eigenvalues of the matrix A. Compute λ 1 {\displaystyle \lambda _{1}} and λ 2 {\displaystyle \lambda _{2}} and two associated eigenvectors x 1 {\displaystyle {\bf {x}}_{1}} and x 2 {\displaystyle {\bf {x}}_{2}} . Find some constants a {\displaystyle a} and b {\displaystyle b} such that: [ d n s n ] = a λ 1 n x 1 + b λ 2 n x 2 . {\displaystyle {\begin{bmatrix}d_{n}\\s_{n}\end{bmatrix}}=a\lambda _{1}^{n}{\bf {x}}_{1}+b\lambda _{2}^{n}{\bf {x}}_{2}.}
