On Complex Split Quaternion Matrices |
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Authors: | Melek Erdoğdu Mustafa Özdemir |
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Affiliation: | 1. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, 42060, Konya, Turkey 2. Department of Mathematics, Akdeniz University, 07058, Antalya, Turkey
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Abstract: | In this paper, we present some important properties of complex split quaternions and their matrices. We also prove that any complex split quaternion has a 4 × 4 complex matrix representation. On the other hand, we give answers to the following two basic questions “If AB = I, is it true that BA = I for complex split quaternion matrices?” and “How can the inverse of a complex split quaternion matrix be found?”. Finally, we give an explicit formula for the inverse of a complex split quaternion matrix by using complex matrices. |
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