对合矩阵的充要条件的证明

Proof of the sufficient conditions for involutory matrices

在高等代数中矩阵是研究问题很重要的工具,在讨论矩阵的乘法运算时给出了对合矩阵的定义,它不管是在矩阵理论方面,还是在实际应用方面都有重要的意义,我们在研究矩阵及学习有关数学知识时,经常要讨论这种特殊矩阵及它的充要条件,文章先给出对合矩阵的定义,然后给出了对合矩阵充要条件的几种证明方法,以供参考.

Matrix is quite useful in the study of advanced algebra. In the discussion of multiplication, this paper gives the definition of involutory matrices, which has both theoretical and practical significance in the study of matrices. It finally gives the sufficient conditions for involutory matrices and several methods of their proof.