摘要:矩阵与伴随矩阵之间存在着密切的关系，本文通过研究矩阵的方法和技巧讨论伴随矩阵在对称、反对称、正定、 正交、相似和特征值等方面的性质及其在线性代数解题中的应用。

关键词：伴随矩阵； 对称； 正定； 相似 ； 特征值

Abstract:The matrix and its adjoint matrix are closely related. In this paper, some properties of    adjoint matrix are discussed by researching the methods and skills of matrix. The properties include symmetry, anti-symmetry, positive definite, orthogonal, similar and characteristic value. In addition, the properties of adjoint matrix in linear algebra problem solving application .

Key words：adjoint matrix； symmetry； positive definite； similar； characteristic value