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 : 19 | Download : 7

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