Linear Algebre
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作者： 刘金宪等编
出 版 社： 高等教育出版社
出版时间： 2003-12-1字数： 220000版次： 1页数： 179印刷时间： 2003/12/01开本：印次：纸张： 胶版纸I S B N ： 9787040129649包装： 平装内容简介
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
6Rank of a Matrix
6.1 Subdeterminants of a matrix
6.2 Definition of rank of a matrix
6.3Rank and elementary operations
6.4 Examples
6.5 Exercises
7Elementary 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
