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Some new Fibonacci and Lucas identities by matrix methods
Authors:Refik Keskin
Affiliation:Faculty of Science and Arts, Department of Mathematics , Sakarya University , 54187 Sakarya, Turkey
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 numbers  Lucas numbers  Fibonacci matrix
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