Bozkurt, DurmuşAltındağ, Ş. Burcu Bozkurt2020-03-262020-03-2620170354-5180https://dx.doi.org/10.2298/FIL1715715Bhttps://hdl.handle.net/20.500.12395/35213In this paper, we obtain a general expression for the entries of the rth power of a certain n x n complex tridiagonal matrix where if n is even, r is an element of Z or if n is odd, r is an element of N. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.en10.2298/FIL1715715Binfo:eu-repo/semantics/openAccessChebyshev PolynomialTridiagonal MatrixPower of MatrixFibonacci PolynomialEigenvaluesEigenvectorsArticle311547154724WOS:000416115500004Q3