Split quaternion matrices

By Y. Alagöz, Khürsat Hakan Oral, S. Yüce. 2012

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In this paper, we consider split quaternions and split quaternion matrices. Firstly, we give some properties of split quaternions. After that we investigate split quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of split quaternion matrices and we describe some of their properties. Furthermore, we give the definition of q-determinant of split quaternion matrices. 2000 Mathematics Subject Classification: 11R52; 15A33

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/0c6364f7f8455076527a684a6f0459cda90d1399