A Generalization of the Regular Tribonacci-Lucas Matrix

Year 2023, Volume: 13 Issue: 2, 170 - 186, 31.12.2023

Gonca Kızılaslan , Zinnet Saral Acer

https://doi.org/10.17678/beuscitech.1359202

Abstract

We define a generalization of a regular Tribonacci-Lucas matrix and give some factorizations by some special matrices. We find the inverse and the k-th power of the matrix. We also present several identities and a relation between an exponential of a matrix and the defined matrix.

Keywords

Tribonacci-Lucas sequence, factorization of matrices, matrix exponential, matrix inverse

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