MATRICES OF GENERALIZED DUAL QUATERNIONS

Authors : Mehdi Jafari

Pages : 110-121

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Publication Date : 2015-10-01

Article Type : Research

Abstract :After a brief review of some algebraic properties of a generalized dual quaternion, we investigate properties of matrix associated with a gener- alized dual quaternion and examine De Moivre's formula for this matrix, from which the n-th power of such a matrix can be determined. We give the relation between the powers of these matrices.
Keywords : De-Moiver's formula, Hamilton operator, Generalized dual quaternion, Dual quasi-orthogonal.