Split quaternion matrices

In this study, matrices with split quaternion entries are investigated. Firstly, split quaternion matrices are introduced and complex adjoint matrix of a split quaternion matrix is defined. Moreover, new results about eigenvalues of split quaternion matrices are given. Furthermore, the algebra of complex split quaternions, which has not been defined before, is introduced and fundamental computations of complex split quaternions are investigated. Then, the matrices with complex split quaternions and their properties are discussed. Finally, dual split quaternion matrices are studied and some results about eigenvalues of dual split quaternion matrices are given.