In this paper the idea of synchronous vector and adjoint matrix are proposed. 本文提出了同步矢量和伴生矩阵的概念。
Associated with the notion of the transposed matrix is its complex conjugatx known to physicists as the adjoint matrix. 跟转置矩阵记号相联系的是它的复共轭矩阵,物理学家称之为伴矩阵。
Some properties of adjoint matrix are discussed. The properties are symmetry, antisymmetry, positive definite, positive semi-definite, orthogonal and characteristic value. 摘要讨论了伴随矩阵在对称、反对称、正定、半正定、正交、相似和特徵值等方面的性质。
The inversion formula of a Cauchy matrix is proved in a different way from the adjoint matrix approach,which is by means of Complex Analysis and matrix equation theory. 用复分析和矩阵方程理论给出C auchy矩阵求逆公式的一种新证明.
In this paper, Cyclic Matrix Inversion is discussed, and two methods of cyclic Matrix Inversion (linear, equations method, adjoint matrix method) are proposed. 摘要探讨循环矩阵的求逆问题，提出求解循环矩阵的逆矩阵的两种方法，线性方程组法，伴随矩阵法。
Several properties of adjoint matrix over an arbitrary ring and obtain some results over domain are given. It is a further generalization of the results over an arbitrary field. 摘要讨论了交换环上伴随矩阵的若干性质，给出了整环上的一个主要结论。这些结果均推广了域上的结论。