Fibonacci identities via the determinant of tridiagonal matrix

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摘要

In this paper, using the method of Laplace expansion to evaluate the determinant tridiagonal matrices, we construct a kind of determinants to give new proof of the Fibonacci identities.

论文关键词:Fibonacci identity,Fibonacci number,Determinant,Tridiagonal matrix

论文评审过程:Available online 17 December 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.12.025