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Research Article Open access CC BY 4.0

A New Approach to Bicomplex Jacobsthal Matrix and Bicomplex Jacobsthal-Lucas Matrix Components

Ali Atasoy, Faik Babadağ

Journal of Advances in Mathematics and Computer Science · pp. 122–130 · Published 6 Jul 2023

10.9734/jamcs/2023/v38i81795

Abstract

In this present paper, we give a detailed study of a new generation of Bicomplex Jacobsthal matrix and Bicomplex Jacobsthal-Lucas matrix using Jacobsthal -matrix and Jacobsthal Lucas -matrix. Also presented some formulas, facts, and properties about these matrices. In addition, a new vector called the bicomple Jacobsthalvectors  and the bicomplex Jacobsthal-Lucas vectors   with matrix components is presented. Some properties of this vector apply to various properties of geometry which are not generally known in the geometry of space. Then, using this matrix representation, we give some identities.

Bicomplex Jacobsthal matrix bicomplex Jacobsthal-Lucas matrix Jacobsthal numbers Jacobsthal-Lucas numbers

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