本书是教育科学“十五”**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。

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