De- Moivre's and Euler Formulas for Matrices of Split Quaternions

2015/03/13 by Melek Erdogdu, Erdogdu, Melek, Mustafa Ozdemir +1
Mathematics · #30C35 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:30C35

paper · pdf · doi:10.48550/arxiv.1503.05413

arxiv created 2015/03/13 · arxiv updated 2015/03/19

Abstract

In this paper, real matrix representations of split quaternions are examined in terms of the casual character of quaternion. Then, we give De-Moivre' s formula for real matrices of timelike and spacelike split quaternions, separately. Finally, we state the Euler theorem for real matrices of pure split quaternions.

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