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《线性代数简明教程》
线性代数简明教程
编号: PT30825
作者:居余马 林翠琴
译者:
开本:32开
ISBN:730208393
出版社:清华大学出版社
出版日期:2004-06-01
装帧:
书夫曼编号:69544
原价: 10
普通会员:9.35  一星会员:9.07
二星会员:8.88  三星会员:8.70

内容简介

本书为高等院校教材。全书共6章,内容包括;行列式;矩阵;线性方程组;向量空间与线性变换;特征值和特征向量相似矩阵;二次型。一般每章安排两个层次的习题,并在书后按章汇编了历年硕士研究生人学考试中的线性代数试题.
  本书层次清晰,阐述深入浅出,简明扼要.可作为高等院校的教材(适用于30~45学时的教学计划)或教学参考书
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 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目录

目      录  第1章    行列式                                      1.  1    n阶行列式的定义及性质                                      1.  2    n阶行列式的计算  展开                                        1.  3    克拉默法则                                      附录1    关于双重连加号“∑∑”                                      习题    补充题    答案                                      第2章    矩阵                                      2.  1    高斯消元法                                      2.  2    矩阵的加法    数量乘法    乘法                                      2.  3    矩阵的转置    对称矩阵                                      2.  4    可逆矩阵的逆矩阵                                      2.  5    矩阵的初等变换和初等矩阵                                      2.  6    分块矩阵                                      附录2    数域    命题    量词                                      习题    补充题    答案                                      第3章    线性方程组                                      3.  1    n维向量及其线性相关性                                      3.  2    向量组的秩及其极大线性无关组                                      3.  3    矩阵的秩    *相抵标准形                                      3.  4    齐次线性方程组有非零解的条件及解的结构                                      3.  5    非齐次线性方程组有解的条件及解的结构                                      习题    补充题    答案                                      第4章    向量空间与线性变换                                      4.  1    Rn的基与向量关于基的坐标                                      4.  2    Rn中向量的内积    标准正交基和正交矩阵                                      *4.  3    线性空间的定义及简单性质                                      *4.  4    线性子空间                                      *4.  5    线性空间的基    维数    向量的坐标                                      *4.  6    向量空间的线性变换                                      习题    答案                                      第5章    特征值和特征向量    相似矩阵                                      5.  1    矩阵的特征值和特征向量    相似矩阵                                      5.  2    矩阵可对角化的条件                                      5.  3    实对称矩阵的对角化                                      习题    补充题    答案                                      第6章    二次型                                      6.  1    二次型的定义和矩阵表示    合同矩阵                                      6.  2    化二次型为标准形                                      6.  3    正定二次型和正定矩阵                                      习题    补充题    答案                                      附录    历年硕士研究生入学考试中线性代数试题汇编


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