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Basic Linear Algebra(线性代数) 本书特色
本书是针对双语教学及来华留学生英语教学而编写的线性代数英文教材。本书对线性代数的内容作了比较准确的、深入浅出的英文表述。内容包括行列式、矩阵、向量、线性方程组、矩阵的特征值与特征向量、矩阵的相似对角化、二次型及其标准形等。数学专业表述及技术符号系统与国际现行教学规范一致。教材每个章节配备了习题并附有参考答案。 本书适合作为我国高等院校同名课程的双语教学及来华留学生英文教学的配套教材，也可以作为英语专业的数学课程的教科书，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参考书。
Basic Linear Algebra(线性代数) 目录
Chapter 1Systems of Linear Equations and Elementary Operations on Matrices
1.1Systems of Linear Equations
1.2Elementary Operations on Matrices
Exercises 1.2
Chapter 2Determinants
2.1The Determinant of a Matrix
Exercises 2.126
2.2Properties of Determinants26
Exercises 2.2
2.3The Cofactor Expansion of a Determinant
Exercises 2.3
2.4Cramer’s Rule
Exercises 2.4
Chapter 3Matrices Algebra
3.1Matrices Arithmetic
Exercise 3.1
3.2Special Matrices
Exercises 3.2
3.3The Inverse of a
Exercises 3.3
3.4Partitioned Matrices
Exercises 3.4
3.5Elementary Matrices
Exercises 3.5
3.6The Rank of a Matrix
Exercises 3.6
Chapter 4Structure of Solutions for Systems of Linear Equations
4.1Existence and Uniqueness of Solutions
Exercises 4.1
4.2Vectors and Operations on Vectors
Exercises 4.2
4.3Linear Relation Among Vectors
Exercises 4.3
4.4Rank of a Vector Set
Exercises 4.4
4.5Structure of Solutions for Systems of Linear Equations
Exercises 4.5
4.6Vector Spaces*
Exercises 4.6
Chapter 5Similar Matrices and Quadratic Forms
5.1Eigenvalues and Eigenvectors
Exercises 5.1
5.2Similar Matrices
Exercises 5.2
5.3Diagonalization of Symmetric Matrices
Exercises 5.3
5.4Quadratic Forms*
Exercises 5.4
Answers to Exercises
References
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