On Complex Split Quaternion Matrices


Erdogdu M., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.625-638, 2013 (SCI-Expanded) identifier identifier

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.