On Complex Split Quaternion Matrices
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.23, sa.3, ss.625-638, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 3
- Basım Tarihi: 2013
- Doi Numarası: 10.1007/s00006-013-0399-z
- Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.625-638
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.