Some New Properties of The Real Quaternion Matrices and Matlab Applications
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Cumhuriyet Üniversitesi
Erişim Hakkı
Özet
In this study, firstly, it was shown that the set of real quaternion matrices is a -dimensional module over the real matrix ring and -dimensional module over the complex matrix ring . Moreover, some new properties of the real quaternion matrices were described. Then, matrix representations of the real quaternion matrices were found easily by Matlab. These matrices were also applied to find the inverse of the real quaternion matrices and inverse matrices were obtained easily with these matrices. In addition, some new properties for matrix representations of the real quaternion matrices were found. Also, the inverse of the real quaternion block matrices was obtained by new methods. Finally, a new method to calculate the determinant of the real quaternion matrices was found and the determinant of these matrices was calculated easily with Matlab application.
Açıklama
Anahtar Kelimeler
Quaternions, Real quaternions, Real quaternion matrices, Real matrix representation, Determinant, Block matrices
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Cumhuriyet Sci. J., Vol.40-1(2019) 42-60
