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Fibonacci identities via the determinant of tridiagonal matrix - MaRDI portal

Fibonacci identities via the determinant of tridiagonal matrix (Q628990)

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scientific article; zbMATH DE number 5862538
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Fibonacci identities via the determinant of tridiagonal matrix
scientific article; zbMATH DE number 5862538

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    Fibonacci identities via the determinant of tridiagonal matrix (English)
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    8 March 2011
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    Let \(F_n\) be the Fibonacci numbers. The author proves the identity \[ F_{m+n+1}=F_{m+1}F_{n+1}+F_m F_n \] using determinants of tridiagonal matrices.
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    Fibonacci identity
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    determinant
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    tridiagonal matrix
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