Note on Bicomplex Matrices

In this paper, we consider bicomplex numbers and bicomplex matrices. Firstly, we give some properties

___

  • [1] Y. Alagöz, K. H. Oral, and S. Yüce, "Split quaternion matrices", Miskolc Mathematical Notes vol.13(2012), No.2, p.223-232
  • [2] G.Baley Price, An ˙Introduction to multicomplex spaces and functions, 1991, Monographs and textbooks inpure and applied mathematics, v.140;Marcel Gekker, Inc., 402 pp
  • [3] F.O.Farid ,Qing-Wen Wang and F. Zhang, "On the eigenvalues of quaternion matrices", Linear and Multilinear Algebra vol.59, no.4, April 2011, 451-473
  • [4] H. Kaya, "Genelle¸stirilmi¸s Bikompleks sayılar" , Yüksek Lisans Tezi , Bilecik ¸Seyh Edebali Üniverstesi, Bilecik, 2014
  • [5] M.E.Luna-Elizarraras, M.Shapiro, D.C. Struppa, A.Vajiac, "Bicomplex Numbers and their elementary functions CUBO". A Mathematical Journal vol.14, No:02, (61-80). June, 2012
  • [6] M. Özdemir, M. Erdo˘gdu and H. ¸Sim¸sek, "On the Eigen values and Eigenvectors of a Lorentzion Rotation Matrix by using split queternions". Adv.Appl. Clifford Algebras 24(2014), 179-192
  • [7] D.Rochon, M.Shapiro, "On algebraic properties of bicomplex and hyperbolic numbers", an. Univ. Oredea Fasc. Mat. 11 (2004) 71-110
  • [8] T. Ünal, "Kuaterniyonlar ve Kuaterniyon Matrisleri" , Yüksek Lisans Tezi, Dumlupınar Üniversitesi, Haziran, 2011.
  • [9] F. Zhang ,"Quaternions and Matrices of Quaternions" Linear Algebra Appl., vol 251, pp.21-57, 1997