【内容简介】: 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。
【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  Exercises

CHAPTER 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 VECTORS

CHAPTER Ⅳ STRUCTURE OF SOLUTIONS FOR EQUATIONS

CHAPTER Ⅴ EIGENVALUES

ANSWERS TO EXERCISES

INDEX

REFERENCES