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Journals / International Electronic Journal of Geometry / 2020 / Volume: 13 Issue: 2

Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions

Hidayet Hüda Kösal(SAKARYA UNIVERSITY)0000-0002-4083-462X
Tuçe Bilgili(SAKARYA ÜNİVERSİTESİ)0000-0002-9554-6502
Pages
—
Publication Date
2020-10-15
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, our results are supported by pseudo-codes and some examples. ...

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, Euler and De Moivre's formulas for fundamental matrices of commutative quaternions are obtained.
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Key Findings & Data:Simple and effective methods are provided to find the powers and roots of these matrices with the aid of De Moivre's formula obtained from the fundamental matrices of commutative quaternions.
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Conclusion & Impact:Moreover, our results are supported by pseudo-codes and some examples. ...
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Commutative quaternions · fundamental matrices · Euler and De Moivre's formulas

Abstract

In this study, Euler and De Moivre's formulas for fundamental matrices of commutative quaternions are obtained. Simple and effective methods are provided to find the powers and roots of these matrices with the aid of De Moivre's formula obtained from the fundamental matrices of commutative quaternions. Moreover, our results are supported by pseudo-codes and some examples. ...

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Cite This Article

Kösal, H. H., Bilgili, T. (2020). Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions. International Electronic Journal of Geometry, Volume: 13 Issue: 2. https://doi.org/10.36890/iejg.768821

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