通化师范学院本科生毕业论文（2012届）题目置换矩阵的性质及其推广系别:数学系专业:数学与应用数学班级:二班作者姓名:居海丽学号:200806010204指导教师:高玉峰职称:助教学历:研究生论文成绩:2012年5月目录摘要..............................................................................................................IAbstract...........................................................................................................II1引言................................................................................................................11.1置换矩阵的定义........................................................................................21.2广义置换矩阵的定义................................................................................22置换矩阵的性质............................................................................................32.1置换矩阵的基本性质................................................................................32.2对称置换矩阵...........................................................................................72.2.1对称置换矩阵的定义........................................................................72.2.2对称置换矩阵的基本性质................................................................73广义置换矩阵的性质...................................................................................83.1广义置换矩阵的基本性质........................................................................83.2广义置换矩阵的判定...............................................................................94置换矩阵的应用...........................................................................................94.1置换矩阵在矩阵行列式变换中的应用.........................................................94.2置换矩阵在模糊交换矩阵中的应用........................................................115结束语..........................................................................................................12致谢语............................................................................................................12参考文献........................................................................................................12指导教师评语....................................................................................................评阅人评语........................................................................................................置换矩阵的性质及其推广数学系2008级2班居海丽摘要:本文介绍了置换矩阵和对称置换矩阵的定义和基本性质,探讨了广义置换矩阵的基本性质及判定方法,讨论了置换矩阵在矩阵行列式变换和模糊交换矩阵中的应用.关键词:置换矩阵;对称置换矩阵;广义置换矩阵;模糊交换矩阵PropertiesandPromotionofPermutationMatrixClass2,2008,DepartmentofMathematicsJuHailiAbstract:Thepassageisintroducedfromdefinitionandbasicpropertiesofpermutationmatrixandsymmetrypermutationmatrix,then,somepropertiesanddeterminemethodsofgeneralizedpermutationmatrixarestudied,permutationmatrixisdiscussedinlines-rowschangedonmatrixandfuzzycommutematrix.Keywords:Permutationmatrix;symmetrypermutationmatrix;generalizedpermutationmatrix;fuzzycommutematrix第1页共18页编号：时间：2021年x月x日书山有路勤为径，学海无涯苦作舟页码：第1页共18页1引言置换矩阵是布尔矩阵的特例,在代数学中占有重要地位,许多《高等代数》、《矩阵论》的书籍都有涉及.置换矩阵具有良好的特性与结构,对置换矩阵的...
