Title of article :
Matrix Representation of Dual Quaternions
Author/Authors :
JAFARI, Mehdi urmia university - Faculty of Science - Department of Mathematics, اروميه, ايران , MERAL, Mucahit Bozok University - Faculty of Science - Department of Mathematics, Turkey , YAYLI, Yusuf Ankara Üniversitesi - Faculty of Science - Department of Mathematics, Turkey
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 4A^n= I4 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
Journal title :
Gazi University Journal Of Science
Journal title :
Gazi University Journal Of Science
