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Journals / 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
Pages
1–15
Publication Date
2023-10-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data:Since the hybrid multiplication is noncommutative, this leads to finding a linear transformation on the complex field.
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Conclusion & Impact:Moreover, we define the co-determinant of hybrid matrices which plays an important role to construct the Lie groups.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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