Francisco Regis Vieira Alves and Paula Maria Machado Cruz Catarino
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 110—122
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Authors and affiliations
Recently Wani, Artaf, A., Badshah, V., Rathore, G. P. & Catarino introduced commutative matrices derived from the generalized Fibonacci matrix sequence and the k-Pell matrix sequence. In the present work, through the identification of certain special matrices, we can identify other forms of demonstration and also the description of commutative matrix properties for negative indices.
- Generalized Fibonacci matrix sequence
- k-Pell matrix sequence
2010 Mathematics Subject Classification
- Shannon, A. G., Horadam, A. & Anderson, P. G. (2006). The auxiliary equation associated with the plastic number. Notes on Number Theory and Discrete Mathematics. 12 (1), 1–12.
- Wani, A. A., Badshah, V., Rathore, G. P. & Catarino, P. M. (2019). Generalized Fibonacci and k-Pell Matrix sequence, Journal of Mathematics, 51 (1), 17–28.
- Turkmen, R. & Civciv, H. (2008). On the (s, t)-Fibonacci and Fibonacci matrix sequence, Ars Combinatoria, 87, 161–173.
Cite this paper
Alves, F. R. V. A., & Catarino, P. M. M. C. (2019). Generalized Fibonacci and k-Pell matrix sequences: Another way of demonstrating their properties. Notes on Number Theory and Discrete Mathematics, 25(4), 110-122, doi: 10.7546/nntdm.2019.25.4.110-122.