SPLIT QUATERNION MATRICES

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ALAGÖZ Y., Oral K. H., Yüce S.

MISKOLC MATHEMATICAL NOTES, cilt.13, sa.2, ss.223-232, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.18514/mmn.2012.364
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.223-232
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.