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Math Help - Recurrence relation

  1. #1
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    Recurrence relation

    x_{xn-1}= 5_{xn-1} - 6_{xn-2}; for\ n\geq2\ x_{1} = 1\ x_{0} = 0


    prove by induction that:
     \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}
    Last edited by Dragonkiller; May 13th 2012 at 12:45 AM.
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