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Dergiler / Journal of Universal Mathematics / 2023 / Cilt: 6 Sayı: 3-Supplement

MATRICES OF HYBRID NUMBERS

Çağla Ramis(NEVSEHIR HACI BEKTAS VELI UNIVERSITY)0000-0002-2809-8324
Yasin Yazlik(NEVSEHIR HACI BEKTAS VELI UNIVERSITY)0000-0001-6369-540X
Sayfa
1–15
Yayın Tarihi
2023-10-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Since the hybrid multiplication is noncommutative, this leads to finding a linear transformation on the complex field.
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Sonuç & Katkı:Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Complex numbers · Dual numbers · Hyberbolic numbers

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.

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Bu Makaleye Atıf Yap

Ramis, Ç., Yazlik, Y. (2023). MATRICES OF HYBRID NUMBERS. Journal of Universal Mathematics, Cilt: 6 Sayı: 3-Supplement, 1–15. https://doi.org/10.33773/jum.1332081

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