MATRICES OF HYBRID NUMBERS

Yıl 2023, Cilt: 6 Sayı: 3-Supplement, 1 - 15, 15.10.2023

Çağla Ramis , Yasin Yazlik

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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