可逆矩阵的判定及其求法摘要本文研究可逆矩阵的判定以及矩阵的逆的求解方法. 通过可逆矩阵的已有结论，分析了可逆矩阵的判定和求解方法，主要内容如下. 首先，第一部分阐述了逆矩阵的有关定义、性质等基础知识. 其次，第二部分讨论了矩阵是否可逆的几种判断方法，并对其中所给的几种判定方法进行举例说明. 最后，总结了求矩阵的逆的几种方法，并举例进行具体分析，得到不同的矩阵其求逆矩阵的方法具有差异性.关键词：矩阵；可逆；逆矩阵；伴随矩阵IJudgment and Solution of Invertible Matrix ABSTRACTThis paper studies the determination of invertible matrices and the method of solving the inverse of the matrix. Through the existing conclusions of invertible matrices, the methods of determining and solving invertible matrices are analyzed. The main contents are as follows.First, the first part elaborates on the basic knowledge of the definition and properties of the inverse matrix. Secondly, the second part discusses several methods for judging whether the matrix is invertible, and gives an example of the judgment methods given in it. Finally, the summary Several methods to find the inverse of the matrix are given, and a specific analysis is given by way of example, and the method of finding the inverse matrix is different for different matrices.Keyword: Matrix; Reversible; Invertible Matrix; Adjoin MatrixII目录摘要.......................................................................................................................................................IABSTRACT.........................................................................................................................................II一、引言..............................................................................................................................................1二、基础知识..........................................................................................................
