Cramer's rules for Hermitian systems of coquaternionic equations

2016/09/30 by Ivan Kyrchei, Kyrchei, Ivan
Mathematics · #11R52 #15A15 #15A24 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:11R52 #msc:15A15 #msc:15A24

paper · pdf · doi:10.48550/arxiv.1609.09668

arXiv admin note: text overlap with arXiv:math/0702447

arxiv created 2016/09/30 · arxiv updated 2016/10/03

Abstract

In this paper properties of the determinant of a Hermitian matrix are investigated, and determinantal representations of the inverse of a Hermitian coquaternionic matrix are given. By their using, Cramer's rules for left and right systems of linear equations with Hermitian coquaternionic matrices of coefficients are obtained. Cramer's rule for a two-sided coquaternionic matrix equation \bf AXB=\bf D (with Hermitian \bf A, \bf B) is given as well.

Citations

• Cramer rule over quaternion skew field

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