Matrix Representation of Dual Quaternions
Authors : Mehdi Jafari, Mücahit Meral, Yusuf Yayli
Pages : 535-542
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Publication Date : 2014-01-02
Article Type : Research
Abstract :After a review of some properties of dual quaternions, De Moivre's and Euler's formulas for the matrices associated with these quaternions are studied. In special case, De Moivre's formula implies that there are uncountably many matrices of unit dual quaternions satisfying 4 n A I = for n≥3. Also; we give the relation between the powers of matrices of dual quaternions.Keywords : De-Moiver's formula, Hamilton operator, Dual quaternion