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The Fibonacci sequence is defined by \(F_0 = 0,,F_1=1\) and \(F_n = F_{n - 1} + F_{n - 2} \) for all \(n \ge 2.\)

Compute \(\det \begin{pmatrix} F_{1000} & F_{1001} & F_{1002} \\ F_{1001} & F_{1002} & F_{1003} \\ F_{1002} & F_{1003} & F_{1004} \end{pmatrix} .\)
 

 Jun 14, 2020
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det([[F_{1000}, F_{1001}, F_{1002}],[F_{1001},F_{1002},F_{1003}],[F_{1002},F_{1003},F_{1004}]) = -4.

 Jun 14, 2020

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