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Real matrix representations of complex split quaternions with applications
Authors:Melek Erdo?du  Mustafa Özdemir
Institution:1. Department of Mathematics-Computer, Faculty of Science, Necmettin Erbakan University, Konya, Turkey;2. Department of Mathematics, Akdeniz University, Antalya, Turkey
Abstract:In this paper, we introduce 8×8 real matrix representations of complex split quaternions. Then, the relations between real matrix representations of split and complex split quaternions are stated. Moreover, we investigate some linear split and complex split quaternionic equations with split Fibonacci and complex split Fibonacci quaternion coefficients. Finally, we also give some numerical examples as applications of real matrix representation of complex split quaternions.
Keywords:complex split quaternion  split Fibonacci quaternion  split quaternion
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