章 行列式(Determinants) §1.1 二阶与三阶行列式(Determinants of order 2 and order 3) §1.2 全排列、逆序数及对换(Arrangements, inverse ordinal numbers and transpositions) §1.3 阶阶行列式的定义(Definition of determinant of order n) §1.4 行列式的质(Properties of determinants) §1.5 行列式按行(列)展开(Expansion of determinant along a row or column) §1.6 行列式的应用(Applications of determinants)数学家克拉默简介
第二章 矩阵(Matrices) §2.1 矩阵的概念(Concept of matrices) §2.2 矩阵的运算(Oraios of matrices) §. 可逆矩阵(Invertible matrices) §2.4 分块矩阵(Block matrices) §2.5 矩阵的初等变换(Elementary oraios of matrices) §2.6 矩阵的秩(Rank of matrices)数学家凯莱简介
第三章 线方程组(System of linear equations) §3.1 向量组及其线组合(Vectors set and linear combination) §3.2 向量组的线关(Linear dependence of vectors set) §3.3 向量组的秩(Rank of vectors set) §3.4 线方程组的解的结构(Structure ofs01ution with system of linear equations)数学家高斯简介
第四章 矩阵的相似对角化(Similarity and diagonalization of matrices) §4.1 向量的内积(Inner product of vectors) §4.2 特征值和特征向量(Eigenvalues and eigenvectors) §4.3 矩阵的相似对角化(Similarity and diagonalization of matrices)数学家华罗庚简介
第五章 二次型(dratic forms) §5.1 二次型的基本概念(Basic concept of quadratic forms) §5.2 化二次型为标准形(Reduce the quadratic forms to the standard forms) §5.3 正定二次型(Positive definite quadratic forms)数学家伽罗华简介
第六章 线空间与线变换(Linear spaces and linear transformations) §6.1 线空间的基本概念(Basic concept of linear spaces) §6.2 线空间的基本质(Basic properties of linear spaces) §6.3 线变换的基本概念(Basic concept of linear transformation) §6.4 线变换的矩阵表示(Matrix representations of linear transformations)数学家拉普拉斯简介 自测试卷A 自测试卷B 自测试卷C