The k-Tribonacci Matrix and the Pascal Matrix

This article discusses the relationship between the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn, by first constructing the k-Tribonacci matrix and then looking for its inverse. From the inverse k-Tribonacci matrix, unique characteristics can be constructed so that general shapes can be constr...

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Bibliographic Details
Main Authors: Sri Gemawati, Musraini Musraini, Mirfaturiqa Mirfaturiqa
Format: Article
Language:English
Published: Department of Mathematics, Universitas Negeri Gorontalo 2024-02-01
Series:Jambura Journal of Mathematics
Subjects:
Online Access:https://ejurnal.ung.ac.id/index.php/jjom/article/view/24131
Description
Summary:This article discusses the relationship between the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn, by first constructing the k-Tribonacci matrix and then looking for its inverse. From the inverse k-Tribonacci matrix, unique characteristics can be constructed so that general shapes can be constructed, and then from the relationship of the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn obtain a new matrix, i.e. Un(k). Furthermore, a factor is derived from the relationship of the k-Tribonacci matrix Tn(k) and the Pascal matrix Pn i.e. Pn = Tn(k)Un(k).
ISSN:2654-5616
2656-1344