Civciv, HaciTurkmen, Ramazan2020-03-262020-03-2620080381-7032https://hdl.handle.net/20.500.12395/22539It is always fascinating to see what results when seemingly different areas mathematics overlap. This article reveals one such result; number theory and linear algebra are intertwined to yield complex factorizations of the classic Fibonacci, Pell, Jacobsthal, and Mersenne numbers. Also, in this paper we define a new matrix generalization of the Fibonacci numbers, and using essentially a matrix approach we show some properties of this matrix sequence.eninfo:eu-repo/semantics/closedAccessFibonacci numersPell numbersJacobsthal numbersMersenne numbersArticle87161173WOS:000255916600013Q4