SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS

Authors : Mehdi JAFARI, Habib MOLAEI

Pages : 103-112

Doi:10.17776/csj.04266

View : 40 | Download : 15

Publication Date : 2015-08-20

Article Type : Other Papers

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 Moivres formula, Hamilton operator, semi quaternion

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