SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS

descriptionPublicationkeyboard_double_arrow_right Article 15 Jul 2015Publisher:Cumhuriyet University Sciences JournalJournal:Cumhuriyet Science Journal, volume 36, page 103 (issn: 1300-1949, eissn: 1300-1949,

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Authors: JAFARI, Mehdi; MOLAEI, Habib;

doi: 10.17776/csj.04266

SOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS

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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

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