Matrices with Hyperbolic Number Entries


Kürüz F. Dağdeviren A.
30 December 2022Association of Mathematicians (MATDER)

Turkish Journal of Mathematics and Computer Science
2022#14Issue 2306 - 313 pp.

In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices. As a result of comparing the results found in this work with real, dual, and complex matrices, it will be revealed that there are similarities in additive properties and differences in some multiplicative properties. Finally, we will define some special hyperbolic matrices and give their properties and relations with real matrices.

Hyperbolic matrices , hyperbolic numbers , special hyperbolic matrices

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Department of Computer Engineering, Faculty of Engineering and Architecture, İstanbul Gelişim University, Istanbul, Avcilar, 34310, Turkey
Department of Computer Engineering, Faculty of Engineering, Khoja Akhmet Yassawi International Kazak-Turkish University, Turkistan, Kazakhstan

Department of Computer Engineering
Department of Computer Engineering

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