A TYPE OF THE EXPONENTIAL OF A MATRIX OVER DUAL QUATERNION IN CLIFFORD ANALYSIS

Abstract

This paper proposes a form and use of exponential of a matrix over dual quaternions. Due to the property of the product for dual quaternions, we give the way of computing the exponential of a matrix with the exponential map from their Lie algebras into the dual quaternionic matrices and a form of an eigenvalue of the dual quaternionic exponential of a matrix.