KaydedilenlerDerginizi ekleyin

Dergiler / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 2

Note on Bicomplex Matrices

Canan ÖLÇEK
Semra KAYA NURKAN
Sayfa
46–56
Yayın Tarihi
2022-10-19
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, we give the definition of q-determinant of bicomplex matrices.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider bicomplex numbers and bicomplex matrices.
📊
Temel Bulgular & Veri:Firstly, we give some propertiesof bicomplex numbers.After that we investigate bicomplex matrices using properties of complex matrices.Then we define the complex adjoint matrix of bicomplex matrices and we describe some of theirproperties.
💡
Sonuç & Katkı:Furthermore, we give the definition of q-determinant of bicomplex matrices.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we consider bicomplex numbers and bicomplex matrices. Firstly, we give some propertiesof bicomplex numbers.After that we investigate bicomplex matrices using properties of complex matrices.Then we define the complex adjoint matrix of bicomplex matrices and we describe some of theirproperties. Furthermore, we give the definition of q-determinant of bicomplex matrices.

🔖

Bu Makaleye Atıf Yap

ÖLÇEK, C., NURKAN, S. K. (2022). Note on Bicomplex Matrices. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 2, 46–56. https://ajindex.com/articles/578887

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (1)

  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