线性代数

出版时间：2003-12  出版社：高等教育  作者：刘金宪  页数：179  字数：220000  

内容概要

本书是教育科学“十五”国家规划课题研究成果，对线性代数的内容做了较准确的、深入浅出的英文表述。内容包括行列式、矩阵、向量、方程组解的结构、矩阵的特征值与特征向量等。数学专业技术符号系统与国内现行教学规范一致。分节配备了习题并附有答案。本书适合作为高等院校同名课程双语教学的配套教材，也可以作为英语专业数学课程的教科书，以及数学与应用数学、信息与计算科学专业学科英语的阅读读物。

书籍目录

CHAPTER Ⅰ   DETERMINANTS　Determinants of Order 2 and 3　　1.1  Determinants of order 2　　1.2  Determinants of order 3　　1.3  Exercises　Determinants of Order n　　2.1"   Defining by numbers of inverted sequence　　2.2  Defining by induction　　2.3  Exercises　Properties of Determinants　　3.1  Properties of determinants　　3.2  Examples　　3.3  Exercises　Cramer' s Rule　　4.1  Background　　4.2  Cramer's rule　　4.3  ExercisesCHAPTER Ⅱ  MATRICES　Definition of Matrices　　1.1  Definition of a matrix　　1.2  Determinant of a square matrix　　1.3  Transpose of a matrix　　1.4  Exercises　Addition and Multiplication by a Number　　2.1  Addition of matrices　　2.2  Multiplication of a matrix by a number　　2.3  Calculation rules　　2.4  Exercises　3  Multiplication of Matrices　　3.1  Definition of multiplication　　3.2  Calculation rules　　3.3  Unit matrix　　3.4  Powers of square matrices　　3.5  Exercises　4  Inverse of a Matrix    4.1  Inverse of a matrix of order 2    4.2  Inverse of an n x n matrix    4.3  Properties of inverse matrices    4.4  Exercises　5  Elementary Operations of a Matrix    5.1  Definition of elementary operations    5.2  Standard form of a matrix    5.3  Elementary square matrix    5.4  Find inverse matrices by elementary operations ~    5.5  Exercises　6　Rank of a Matrix　　6.1  Subdeterminants of a matrix　　6.2  Definition of rank of a matrix　　6.3　Rank and elementary operations　　6.4  Examples　　6.5  Exercises　7　Elementary Operations and Elimination　　7.1  Representation of equations by matrices　　7.2  Elimination in simple cases　　7.3  The general case of elimination　　……CHAPTER Ⅲ VECTORSCHAPTER Ⅳ STRUCTURE OF SOLUTIONS FOR EQUATIONSCHAPTER Ⅴ EIGENVALUESANSWERS TO EXERCISESINDEXREFERENCES