发表于 2022-08-20 18:12:13 阅读 (86) 分类:线性代数
线性代数及其应用（原书第4版）
作者: [美]戴维 C.雷（David C.Lay）
出版社: 机械工业出版社
ISBN: 9787111559788
6.1 Inner Product, Length, and Orthogonality
4.6 Rank
4.7 Change of Basis
4.8 Applications to Difference Equations
4.9 Applications to Markov Chains
Chapter 4 Supplementary Exercises
5.1 Eigenvectors and Eigenvalues
5.2 The Characteristic Equation
5.3 Diagonalization
5.4 Eigenvectors and Lmear Transformations
5.5 Complex Eigenvalues
5.6 Discrete Dynamical Systems
5.7 Applications to Differential Equations
5.8 Iterative Estimates for Eigenvalues
Chapter 5 Supplementary Exercises
4.5 The Dimension of a Vector Space
6.2 Orthogonal Sets
6.3 Orthogonal Projections
6.4 The Gram-Schmidt Process
6.5 Least-Squares Problems
6.6 Applications to Linear Models
6.7 Inner Product Spaces
6.8 Applications of Inner Product Spaces
Chapter 6 Supplementary Exercises
7.1 Diagonalization of Symmetric Matrices
7.2 Quadratic Forms
7.3 Constrained Optimization
7.4 The Singular Value Decomposition
7.5 Applications to Image Processing and Statistics
Chapter 7 Supplementary Exercises
2.5 Matrix Factorizations
1.2 Row Reduction and Echelon Forms
1.3 Vector Equations
1.4 The Matrix Equation Ax = b
1.5 Solution Sets of Linear Systems
1.6 Applications of Linear Systems
1.7 Linear Independence
1.8 Introduction to Linear Transformations
1.9 The Matrix of a Linear Transformation
1.10Linear Models in Business, Science, and Engineering
Chapter I Supplementary Exercises
2.1 Matrix Operations
2.2 The Inverse of a Matrix
2.3 Characterizations of Invertible Matrices
2.4 Partitioned Matrices
1.1 Systems of Linear Equations
2.6 The Leontief Input-Output Model
2.7 Applications to Computer Graphics
2.8 Subspaces of R
2.9 Dimension and Rank
Chapter 2 Supplementary Exercises
3.1 Introduction to Determinants
3.2 Properties of Determinants
3.3 Cramer
Chapter 3 Supplementary Exercises
4.1 Vector Spaces and Subspaces
4.2 Null Spaces, Column Spaces, and Linear Transformations
4.3 Linearly Independent Sets; Bases
4.4 Coordinate Systems
