Open AccessSOME PROPERTIES OF MATRIX ALGEBRA OF SEMI-QUATERNIONS
Author(s) -
Mehdi Jafari,
Habib Molaei
Publication year - 2015
Publication title -
cumhuriyet science journal
Language(s) - English
Resource type - Journals
ISSN - 1300-1949
DOI - 10.17776/csj.04266
Subject(s) - quaternion , algebra over a field , quaternion algebra , mathematics , matrix (chemical analysis) , pure mathematics , division algebra , algebra representation , geometry , materials science , composite material
. 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.
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