On Fibonacci quaternion matrix
- 1 December 2021
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 27 (4), 236-244
- https://doi.org/10.7546/nntdm.2021.27.4.236-244
Abstract
In this study, we have defined Fibonacci quaternion matrix and investigated its powers. We have also derived some important and useful identities such as Cassini's identity using this new matrix.Keywords
This publication has 5 references indexed in Scilit:
- Quaternion group algebra and representations of the quaternionsCommunications in Algebra, 2019
- Some remarks regarding l-elements defined in algebras obtained by the Cayley–Dickson processChaos, Solitons, and Fractals, 2018
- The quaternion-Pell sequenceCommunications in Algebra, 2018
- Some identities deriving from the nth power of a special matrixAdvances in Difference Equations, 2012
- On Fibonacci QuaternionsAdvances in Applied Clifford Algebras, 2011