On Divisions and Matrices of Special Sequences

Abstract: This article is about new properties of some special matrices. Matrices of special sequences such as Naryana, Fibonacci and Lucas sequences are studied. New properties are obtained on the Binet formulas of these sequences. The three-row column matrix existing in the literature is analyzed. This column matrix is moved to a new regular matrix order 3rd. Comparisons are made between square matrices formed by special sequences. The basic relationships between products and divisions are given. Solution methods of linear matrix equations are considered. Some results on new properties with this approach are given. Studies of Binet’s formula between special sequences are presented.