余四元数厄米特方程组的克拉姆法则
Cramer's rules for Hermitian systems of coquaternionic equations
摘要：
本文研究了埃尔米特矩阵的行列式的性质，给出了余四元数埃尔米特矩阵的逆矩阵的行列式表示。利用它们，得到了系数为Hermite余四元数矩阵的左、右线性方程组的克拉姆法则.同时给出了双边余四元数矩阵方程${\bf AXB}={\bf D}$（含Hermitian ${\bf A}$，${\bf B}$）克拉姆法则.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
