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矩阵间合同等价相似的联系与区别.doc

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文档介绍:河南师范大学
本科毕业论文
河南师范大学
本科毕业论文
学号:
矩阵间合同、等价、相似的联系与区别

2013年05月
矩阵间等价、合同、相似的联系与区别
xxxX

摘要本文将要分三个步骤来逐步深入的探究矩阵间的三种关系及区别:首先,简要介绍矩阵作为高等师范院校数学与应用数学专业的基础学科的重要性,以及这一学科知识的理论性及应用性的特点;其次,简要介绍矩阵的概念及基本运算,给出矩阵的秩和逆的解法;最后,给出矩阵等价、合同、相似的定义,根据定义分析三者之间的联系与区别,并进一步给出具体例子使同学们有更加深刻的印象,组织学****小组联系实际自主学****将书面知识向实际能力转化,以自主创新的态度来对待生活中的难题,形成新思维使我们在未来学****工作中越走越顺.
关键词矩阵、矩阵的等价、矩阵的相似、矩阵的合同
The connection and distinction among three relationships of matrices those are equivalent, contract, similar
Zhu Yan
        (College of Mathematics and Information Science, Henan Normal University, Xinxiang Henan 453007,China)
Abstract The paper is divided into three steps to gradually in-depth exploration of three kinds of relationships among matrices and these differences: First, we have briefly introduced the importance of the matrix as a professional basis discipline in Normal Colleges and Applied Mathematics in the paper, meanwhile, we have introduced the knowledge of this discipline included it’s theory and application characteristics; Second, we have briefly introduced the concepts and basic operations of the matrix in the paper then the solution of the question about the rank of the matrix and the inverse are given in the paper; Finally, we have introduced definitions of the matrix’s equivalent, contract and similar in this paper, then, according to the definition we analyse the contact and distinction among those relationships , and further offers specific examples to analyse, so that students will have a more profound impression. Organized study groups practice self-learning and transforming the written knowledge to the actual ability of independent innovation attitude to deal with the problems in life, the formation of new thinking to make our future study and work farther and Shun.
Keywords matrix; matrix contract ; matrix equivalent; matrix similarity
目录
前言……………………………………………………………………………………………
1
1矩阵的简介………………………………………………………………………………
1
矩阵的简介……………………………………………………………………………
1
矩阵