MATRICES OF HYBRID NUMBERS

Year 2023, Volume: 6 Issue: 3-Supplement, 1 - 15, 15.10.2023

Çağla Ramis , Yasin Yazlik

https://doi.org/10.33773/jum.1332081

Abstract

In this study, we investigate the matrices over the new extension of the real numbers in four dimensional space E2^4
called the hybrid numbers. Since the hybrid multiplication is noncommutative, this leads to finding a linear
transformation on the complex field. Thus we characterize the hybrid matrices and examine their algebraic properties with respect to their complex adjoint matrices. Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.

Keywords

Complex numbers, Dual numbers, Hyberbolic numbers, Hybrid numbers, Hypercomplex numbers, Complex matrices, Hybrid matrices

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