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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P524

Relationship of Lucas Matrix and p-Tribonacci Matrix


Irma Desriza, Sri Gemawati, Syamsudhuha
Abstract

This article discusses the relationship of Lucas matrix Ln and p-Tribonacci matrix Tp(n), and the relationship of Fibonacci matrix Fn and p-Tribonacci matrix Tp(n). these relationship are to obtain a new matrix called Epn matrix and Hpn matrix, Then the Epn matrix and Hpn matrix can be expressed in the form Ln = Tp(n)Epn and Fn =Tp(n)Hpn.

Keywords
Lucas Number, Lucas Matrix, p-Tribonacci Number, p-Tribonacci Matrix, Fibonacci Number, Fibonacci Matrix.
References

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[7] K.H.Rosen, Discrete Mathematics and its Applications, Seventh Edition, McGraw Hill, New York, 2012.
[8] F.Rasmi, S.Gemawati,Kartini and M.D.H.Gamal, Relation Between Strirling Numbers of Second Kind and Tribonacci Matrix, Bulletin of Mathematics, 1 (2018), 33 39F.
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[10] Mirfaturiqa, M. D. H. Gamal, dan S. Gemawati, Tetranacci Matrix Via Pascal’s Matrix, Bulletin of Mathematics, 1 (2017), 1–7.
[11] Predrag Stanimirovi´ Jovana Nikolov, Ivan Stanimirovi´c, A generalization of Fibonacci and Lucas matrices, Discrete Applied Mathematics 156 (2008) 2606 2619
[12] H. Ulfa, S. Gemawati, Syamsudhuha, Some Identities of Fibonacci-Like Base on Lucas Numbers, International Journal of Mathematics Trends and Technology (IJMTT) – Volume 65 Issue 2- Feb 2019
[13] Z. Zhang Y. Zhang. The Lucas Matrix and Some Combinatorial Identities, Indian J. Pure Appl. Math (in press).

Citation :

Irma Desriza, Sri Gemawati, Syamsudhuha, "Relationship of Lucas Matrix and p-Tribonacci Matrix," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 238-244, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P524

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