MATRICES OF GENERALIZED DUAL QUATERNIONS

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.

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