# Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations

Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations In this paper, using row-column determinants previously introduced by the author, properties of the determinant of a Hermitian matrix are investigated, and determinantal representations of the inverse of a Hermitian coquaternionic matrix are given. With their help, Cramer’s rules for left and right systems of linear equations with Hermitian coquaternionic coefficient matrices are obtained. Cramer’s rule for a two-sided coquaternionic matrix equation $$\mathbf{AXB}=\mathbf{D}$$ AXB = D (with Hermitian $$\mathbf{A}$$ A , $$\mathbf{B}$$ B ) is given as well. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

# Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations

, Volume 27 (3) – Jan 9, 2017
21 pages

/lp/springer_journal/cramer-s-rules-for-some-hermitian-coquaternionic-matrix-equations-gbrKRyhAAG
Publisher
Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
D.O.I.
10.1007/s00006-016-0751-1
Publisher site
See Article on Publisher Site

### Abstract

In this paper, using row-column determinants previously introduced by the author, properties of the determinant of a Hermitian matrix are investigated, and determinantal representations of the inverse of a Hermitian coquaternionic matrix are given. With their help, Cramer’s rules for left and right systems of linear equations with Hermitian coquaternionic coefficient matrices are obtained. Cramer’s rule for a two-sided coquaternionic matrix equation $$\mathbf{AXB}=\mathbf{D}$$ AXB = D (with Hermitian $$\mathbf{A}$$ A , $$\mathbf{B}$$ B ) is given as well.

### Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Jan 9, 2017

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly ### Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. ### Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve ### Freelancer DeepDyve ### Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations