矩阵的等价关系与标准形的应用.doc

矩阵的等价关系与标准形的应用

摘要: 在矩阵的集合上建立等价关系并决定一个具有规定形式的代表元的集合,将一般矩阵的研究转化为对代表元的研究.本文从建立不同的等价关系出发,讨论了矩阵的标准形,依据矩阵的标准形的特点,讨论了它们在矩阵理论和解题中的应用.
关键词: 矩阵； 等价关系； 标准形； 应用

Matrix equal relations and the application of normal form

Abstract: Establishes equal relations in the matrix set and decides a set which has a represetative element of stipulation form,transforms the qeneral matrix research into the representative element research.This article embarks from the equal relations establishes differently,discusses the matrix normal form,basises the characteistic of the matrix normal form,discusses their application in the matrix theary and the problem solving.
KeyWords: Matrix；Equal relations；Normal form；Using