- Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi
- Vol: 36 Issue: 5
- SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS
SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS
Authors : Mehdi Jafari, Habib Molaei
Pages : 103-112
Doi:10.17776/csj.04266
View : 19 | Download : 4
Publication Date : 2015-08-20
Article Type : Other
Abstract :Abstract. By representing semi-quaternions as four-dimensional vectors and the multiplication of quaternions as matrix-by-vector product, we investi- gate properties of matrix associated with a semi-quaternion and examine De- Moivre's formula for this matrix, from which the nth power of such a matrix can be determined.Keywords : De Moivre’s formula, Hamilton operator, semi-quaternion