On Fibonacci quaternion matrix

Serpil Halici and Ömür Deveci
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 4, Pages 236–244
DOI: 10.7546/nntdm.2021.27.4.236-244
Full paper (PDF, 205 Kb)

Details

Authors and affiliations

Serpil Halici
Department of Mathematics, Faculty of Science and Arts
Pamukkale University, Denizli, Turkey

Ömür Deveci
Department of Mathematics, Faculty of Science and Letters
Kafkas University, Kars, Turkey

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

• Quaternions
• Recurrence relations
• Matrices

2020 Mathematics Subject Classification

• 11B37
• 11B39
• 11R52

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