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

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International Electronic Journal of Geometry
Volume:13 Issue:2
Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions

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

Authors : Hidayet Hüda KÖSAL, Tuçe BİLGİLİ

Pages : 98-107

Doi:10.36890/iejg.768821

View : 54 | Download : 12

Publication Date : 2020-10-15

Article Type : Research Paper

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. ...
Keywords : Commutative quaternions, fundamental matrices, Euler and De Moivre`s formulas

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