章节列表

• 1、6.1 Inner Product, Length, and Orthogonality

• 2、4.6 Rank

• 3、4.7 Change of Basis

• 4、4.8 Applications to Difference Equations

• 5、4.9 Applications to Markov Chains

• 6、Chapter 4 Supplementary Exercises

• 7、5.1 Eigenvectors and Eigenvalues

• 8、5.2 The Characteristic Equation

• 9、5.3 Diagonalization

• 10、5.4 Eigenvectors and Lmear Transformations

• 11、5.5 Complex Eigenvalues

• 12、5.6 Discrete Dynamical Systems

• 13、5.7 Applications to Differential Equations

• 14、5.8 Iterative Estimates for Eigenvalues

• 15、Chapter 5 Supplementary Exercises

• 16、4.5 The Dimension of a Vector Space

• 17、6.2 Orthogonal Sets

• 18、6.3 Orthogonal Projections

• 19、6.4 The Gram-Schmidt Process

• 20、6.5 Least-Squares Problems

• 21、6.6 Applications to Linear Models

• 22、6.7 Inner Product Spaces

• 23、6.8 Applications of Inner Product Spaces

• 24、Chapter 6 Supplementary Exercises

• 25、7.1 Diagonalization of Symmetric Matrices

• 26、7.2 Quadratic Forms

• 27、7.3 Constrained Optimization

• 28、7.4 The Singular Value Decomposition

• 29、7.5 Applications to Image Processing and Statistics

• 30、Chapter 7 Supplementary Exercises

• 31、2.5 Matrix Factorizations

• 32、1.2 Row Reduction and Echelon Forms

• 33、1.3 Vector Equations

• 34、1.4 The Matrix Equation Ax = b

• 35、1.5 Solution Sets of Linear Systems

• 36、1.6 Applications of Linear Systems

• 37、1.7 Linear Independence

• 38、1.8 Introduction to Linear Transformations

• 39、1.9 The Matrix of a Linear Transformation

• 40、1.10Linear Models in Business, Science, and Engineering

• 41、Chapter I Supplementary Exercises

• 42、2.1 Matrix Operations

• 43、2.2 The Inverse of a Matrix

• 44、2.3 Characterizations of Invertible Matrices

• 45、2.4 Partitioned Matrices

• 46、1.1 Systems of Linear Equations

• 47、2.6 The Leontief Input-Output Model

• 48、2.7 Applications to Computer Graphics

• 49、2.8 Subspaces of R

• 50、2.9 Dimension and Rank

• 51、Chapter 2 Supplementary Exercises

• 52、3.1 Introduction to Determinants

• 53、3.2 Properties of Determinants

• 54、3.3 Cramer

• 55、Chapter 3 Supplementary Exercises

• 56、4.1 Vector Spaces and Subspaces

• 57、4.2 Null Spaces, Column Spaces, and Linear Transformations

• 58、4.3 Linearly Independent Sets; Bases

• 59、4.4 Coordinate Systems