LinearAIgebra线性代数英文版

内容简介

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　　《LINEAR ALGEBRA（线性代数 英文版）/普通高等教育“十三五”规划教材》的主要内容是矩阵和行列式、线性方程组、方阵的特征值和特征向量、二次型，共四个章节。第1章先引入矩阵的概念，而后介绍矩阵的基本运算和性质、矩阵的秩和逆、方阵的行列式运算及其性质；第2章介绍线性方程组的解、向量组的线性相关性、正交基；第3章介绍方阵的特征值与特征向量，以及方阵的相似对角化；*后，第4章介绍二次型及其矩阵和将二次型化为标准型的方法。

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目录

Chapter 1 Matrices and Determinants1．1 Matrices1．2 Matrix Arithmetic1．2．1 Equality1．2．2 Scalar Multiplication1．2．3 Matrix Addition1．2．4 Matrix Multiplication1．2．5 Transpose of a Matrix1．3 Determinants of Square Matrices1．3．1 Second Order Determinant1．3．2 n-th Order Determinant1．3．3 Properties of Determinants1．3．4 Evaluation of Determinants1．3．5 Laplace’s Theorem1．4 Block Matrices1．4．1 The Concept of Block Matrices1．4．2 Evaluation of Block Matrices1．5 Invertible Matrices1．6 Elementary Matrices1．6．1 Elementary Operations of Matrices1．6．2 Elementary Matrices1．6．3 Use Elementary Operations to Get the Inverse Matrix1．7 Rank of Matrices1．8 ExercisesChapter 2 Systems of Linear Equations2．1 Systems of Linear Equations2．2 Vectors2．3 Linear Independence2．3．1 Linear Combination2．3．2 Linear Dependence and Linear Independence2．4 Maximally Linearly Independent Vector Group2．4．1 Equivalent Vector Sets2．4．2 Maximally Linearly Independent Group2．4．3 The Relationship Between Rank of Matrices and Rank of Vector Sets2．5 Vector Space2．6 General Solutions of Linear Systems2．6．1 General Solutions of Homogenous Linear Systems2．6．2 General Solutions of Non-homogenous Linear Systems2．7 ExercisesChapter 3 Eigenvalues and Eigenveetors3．1 Eigenvalues and Eigenvectors3．1．1 Definition of Eigenvalues and Eigenvectors3．1．2 Properties of Eigenvalues and Eigenvectors3．2 Diagonalization o{ Square Matrices3．2．1 Similar Matrix3．2．2 Diagonalization of Square Matrices3．3 Orthonormal Basis3．3．1 Inner Product of Vectors3．3．2 Orthogonal Set and Basis3．3．3 Gram-Schmidt Orthogonalization Process3．3．4 Orthogonal Matrix3．4 Diagonalization of Real Symmetric Matrices3．4．1 Properties of Eigenvalues of Real Symmetric Matrices3．5 ExercisesChapter 4 Quadratic Form4．1 Real Quadratic Form and Its Matrix4．2 Diagonal Form of Quadratic Form4．3 Diagonal Form of Real Quadratic Form4．3．1 Changing Quadratic Form into Diagonal Form by Orthogonal Transformation4．3．2 Changing Quadratic Form into Diagonal Form by the Method of Completing the Square4．4 Canonical Form of Real Quadratic Form4．5 Positive Definite Quadratic Form and Matrices4．6 ExercisesReferences

封面

书名:LinearAIgebra线性代数英文版

作者:孙晓娟

页数:118

定价:¥28.0

出版社:北京邮电大学出版社

出版日期:2018-09-01

ISBN:9787563555925

PDF电子书大小:41MB 高清扫描完整版