Coşkun, ArzuTaşkara, Necati2021-11-052021-11-052019-08-01https://doi.org/10.31801/cfsuasmas.571975http://hdl.handle.net/20.500.12575/75936In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behaviours of bi-periodic Fibonacci numbers can be obtained via the properties of this new matrix sequence. Finally, we express that well-known matrix sequences such as Fibonacci, Pell, k-Fibonacci matrix sequences are special cases of this generalized matrix sequence.enBi-periodic Fibonacci matrix sequenceBi-periodic Fibonacci numbersBinet formulaArticle682193919492618-6470