On Complex Split Quaternion Matrices
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.625-638, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 3
- Publication Date: 2013
- Doi Number: 10.1007/s00006-013-0399-z
- Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.625-638
- Akdeniz University Affiliated: Yes
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 x 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.