Cramer rule over quaternion skew field
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
New definitions of determinant functionals over the quaternion skew field are given in this paper. The inverse matrix over the quaternion skew field is represented by analogues of the classical adjoint matrix. Cramer rule for right and left quaternionic systems of linear equations have been obtained.
Keywords
Cite
@article{arxiv.math/0702447,
title = {Cramer rule over quaternion skew field},
author = {Ivan Kyrchei},
journal= {arXiv preprint arXiv:math/0702447},
year = {2007}
}
Comments
34 pages, submitted to Fundamentalnya i prikladnya matematika (Fundamental and Applied Mathematics)