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线性代数

刘金宪 高等教育
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


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