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线性代数及其应用
￥ 5.22 1.0折 ￥ 49.8 八五品
库存20件
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作者潘桔；张萍；石丽云
出版社清华大学出版社
出版时间2018-03
版次1
装帧平装
货号9787302480617
上书时间2024-12-03
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图书标准信息
- 作者 潘桔；张萍；石丽云
- 出版社 清华大学出版社
- 出版时间 2018-03
- 版次 1
- ISBN 9787302480617
- 定价 49.80元
- 装帧 平装
- 页数 186页
- 【目录】
- *
1.1 Basic Concepts of Matrix
1.1.1 Definition of Matrix
1.1.2 Special Matrices
1.1.3 Application Examples
1.2 Operations of Matrices
1.2.1 Linear operations of matrices
1.2.2 Multiplication of Matrices
1.2.3 Transpose of a Matrix
1.2.4 Application Examples
1.3 Matrix Inverses
1.3.1 Invertible Matrices
1.3.2 Orthogonal Matrices
1.4 Blocks of Matrices
1.4.1 Block Operations
1.4.2 Block diagonal matrices
1.5 Elementary Operations and Gauss-Jordan Elimination
1.5.1 Elementary Operations
1.5.2 Gauss-Jordan Elimination
1.6 Elementary Matrices and a Method for Finding A-1
1.6.1 Elementary Matrices
1.6.2 A Method for Finding A-1
MATLAB EXERCISES
Chapter 2 Determinants
2.1 Introduction to Determinants
2.1.1 Definitions of Determinants
2.1.2 On the Row(Column) Expansion
2.2 Properties and Evaluation of Determinants
2.2.1 Properties
2.2.2 Evaluation
2.3 Applications of Determinants
2.3.1 Adjugate Matrices and Inverse Formula
2.3.2 Cramer‘ s rule
2.3.3 Application Examples
MATLAB EXERCISES
Chapter 3 Vector Spaces and Linear Systems
3.1 Linear Dependence and Independence
3.2 Vector Spaces
3.2.1 Definition and Examples
3.2.2 Subspaces
3.2.3 The span of a set of vectors
3.3 Basis and Dimension
3.4 Rank
3.5 Structure for Linear Systems Solution Set
3.5.1 Homogeneous Systems
3.5.2 Non-Homogeneous Systems
MATLAB EXERCISES
Chapter 4 Eigenvalues and Eigenvectors
4.1 The Concepts of Eigenvalues and Eigenvectors
4.2 Diagonalization
4.3 Quadratic Forms and Positive Definite Matrices
MATLAB EXERCISES
Chapter 5 Linear Transformations
5.1 Definition and Examples
5.2 Matrix Representations of Linear Transformations
MATLAB EXERCISES
Chapter 6 MATLAB
6.1 Input and Output in MATLAB
6.2 Matrix Operations in MATLAB
6.2.1 Addition and Multiplication of Matrices
6.2.2 Backslash or Matrix Left Division
6.2.3 Exponentiation
6.3 Elementary Row Operations in MATLAB
6.4 Matrix Inverses in MATLAB
6.5 Vectors in MATLAB
6.6 Linear Combinations in MATLAB
6.6.1 The linear combination problem
6.6.2 The span problem
6.6.3 The linear independencedependence problem
6.7 Linear Transformations in MATLAB
6.8 MATLAB Functions
6.8.1 Programming Features I
6.8.2 M-files
6.9 Relational and Logical Operators
6.10 Columnwise Array Operators
6.11 Graphics
Bibliography
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