In this paper, similar canonical form of involutory matrix on integral number ring is given, and we prove that similar canonical form of involutory matrix is unique. 本文利用组合的性质证明了一种整数矩阵求逆矩阵的方法,给出了求逆矩阵的公式,并通过了实例验证。
The method of constructing involutory matrix 对合矩阵的构建方法
The analysis to the involutory matrix and involutory transformation 对合矩阵与对合变换剖析
An introduction to k-generalized sub-orthogonal matrix and its properties are represented, and relation between k-generalized sub-orthogonal matrix, sub-symmetric matrix and generalized involutory matrix are studied. 给出k-拟次正交矩阵的概念,研究了它的性质以及拟次正交矩阵与次对称矩阵、拟对合矩阵间的关系。