Öteleş, AhmetAkbulak, Mehmet2024-12-242024-12-2420140126-6705https://hdl.handle.net/20.500.12604/3800In this paper, we firstly present a general expression for the entries of the rth (r ? ?) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations. © 2014, School of Mathematical Sciences. All rights reserved.eninfo:eu-repo/semantics/closedAccessChebyshev polynomialsEigenvaluesEigenvectorsJordan’s formTridiagonal matricesArticle374971982Q12-s2.0-84907997618