Some new Fibonacci and Lucas identities by matrix methods

Refık Keskin

International Journal of Mathematical Education in Science and Technology · 2009 · 17 citations · 5 references

Concepts

Abstract

Abstract The aim of this article is to characterize the 2 × 2 matrices X satisfying X 2 = X + I and obtain some new identities concerning with Fibonacci and Lucas numbers. Keywords: Fibonacci numbersLucas numbersFibonacci matrixAMS Subject Classifications: 11B3711B3940C05

References

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