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 Paper

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