本科毕业论文 分 类 号学号密级N 阶矩阵 m 次方幂得求法及应用Solution and Application of m-order of nn Martix作者姓名指导老师学科门类提交论文日期专业名称学 校 代 码成绩评定 摘 要矩阵就是许多实际问题中抽象出来得一个概念,它就是高等代数得一个重要组成部分,它几乎贯穿于高等代数得各个章节,在自然学科各分支及经济管理等领域有着广泛得应用、正因为它广泛得应用又就是解决众多问题得有力工具,所以,学习并掌握好矩阵得运算以及它们得运算规律与方法就是我们学好矩阵知识得一个非常重要得环节、对于矩阵方幂得运算,它就是以矩阵得乘法运算为基础;然而,矩阵得幂运算就是比较复杂同时也就是特别麻烦得,所以寻找简单得运算方法就成了计算矩阵高次幂方面得重要环节,为此很多学者都花了很大得精力去探讨讨论,本文将在她们得讨论基础上,应用实例通过数学归纳法,乘法结合律得方法,二项式展开式得方法,分块对角矩阵得方法,标准形法,最小多项式得方法与特别矩阵法等多种方法来求解方阵得高次幂,进而为阶矩阵得幂运算来提供一个参考、关键词:数学归纳法;二项展开式;矩阵得幂;相似矩阵、 Abstract Matrix is a concept many practical problems in the abstract, it is an important part of the linear algebra, it is almost throughout the various sections of linear algebra, in the field of natural sciences and economic management of the branch has a wide range of applications、 Just because it wide range of applications and is a powerful tool for solving many problems, so learn and master the operation and their method of operation rules and good matrix is a matrix of knowledge we learn a very important part、 For matrix power calculations, it is Matrix multiplication is based; however, the matrix exponential operation is more plex but also particularly troublesome, so look for a simple calculation method has bee an important part of puting power matrix high regard, for many scholars have spent a lot of research effort to investigate, the paper will be on the basis of their research, appli...
