11R52; 15A99 De-Moiver's formula, Hamilton operator, Dual quaternion
Descripción:
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 satisfying4 A n= I for n≥3. Also; we give the relation between the powers of matrices of dual quaternions.Key words:De-Moiver's formula, Hamilton operator, Dual quaternion2010 Mathematics Subject Classification: 11R52; 15A99