Some new Fibonacci and Lucas identities by matrix methods

DOI10.1080/00207390903236426zbMath1292.97020OpenAlexW1970666996WikidataQ99705189 ScholiaQ99705189MaRDI QIDQ3576742

Bahar Demirtürk, Refik Keskin

Publication date: 2 August 2010

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207390903236426

zbMATH Keywords

Fibonacci numbersLucas numbersFibonacci matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Number theory (educational aspects) (97F60) Linear algebra (educational aspects) (97H60)

Related Items (4)

On k-circulant matrices with the Lucas numbers ⋮ On characterization of being a generalized Fibonacci \(Q\)-matrix of linear combinations of two generalized Fibonacci \(Q\)-matrices ⋮ Fibonacci and Lucas congruences and their applications ⋮ ON CHARACTERIZATIONS OF SOME LINEAR COMBINATIONS INVOLVING THE MATRICES Q AND R

Cites Work

• Unnamed Item
• Fibonacci properties by matrix methods
• Fibonacci with a Golden Ring

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