[itex]x_{xn-1}= 5_{xn-1} - 6_{xn-2};for \ n≥2 \\ x_{1}=1 \\ x_{0}=0[/itex](adsbygoogle = window.adsbygoogle || []).push({});

prove by induction that:

[itex]\begin{bmatrix}

x_{n}\\ x_{n-1}

\end{bmatrix} = \begin{bmatrix}

5 &-6 \\

1 & 0

\end{bmatrix}^{n-1}\begin{bmatrix}

1\\0

\end{bmatrix}[/itex]

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# Homework Help: Recurrence relation

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