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

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## 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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## Cite this paper

Halici, S., & Deveci, Ö. (2021). On Fibonacci quaternion matrix. Notes on Number Theory and Discrete Mathematics, 27(4), 236-244, doi: 10.7546/nntdm.2021.27.4.236-244.