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. Advances in Applied Clifford Algebras Springer Journals

Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations

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Springer International Publishing
Copyright © 2017 by Springer International Publishing
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
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