Description
Linear Algebra: A Modern Introduction 3rd (third) Edition by Poole EBOOK PDF Instant Download
Table of contents
| 1.1 | The Geometry and Algebra of Vectors | Exercises | p.16 |
| 1.2 | Length and Angle: The Dot Product | Exercises | p.29 |
| 1.3 | Lines and Planes | Exercises | p.44 |
| 1.4 | Applications | Exercises | p.57 |
| Chapter Review | p.61 |
Chapter 2
Systems Of Linear Equations
| 2.1 | Introduction to Systems of Linear Equations | Exercises | p.69 |
| 2.2 | Direct Methods for Solving Linear Systems | Exercises | p.85 |
| 2.3 | Spanning Sets and Linear Independence | Exercises | p.103 |
| 2.4 | Applications | Exercises | p.119 |
| 2.5 | Iterative Methods for Solving Linear Systems | Exercises | p.138 |
| Chapter Review | p.140 |
Chapter 3
Matrices
| 3.1 | Matrix Operations | Exercises | p.158 |
| 3.2 | Matrix Algebra | Exercises | p.167 |
| 3.3 | The Inverse of a Matrix | Exercises | p.184 |
| 3.4 | The LU Factorization | Exercises | p.195 |
| 3.5 | Subspaces, Basis, Dimension, and Rank | Exercises | p.215 |
| 3.6 | Introduction to Linear Transformations | Exercises | p.229 |
| 3.7 | Applications | Exercises | p.256 |
| Chapter Review | p.263 |
Chapter 4
Eigenvalues And Eigenvectors
| 4.1 | Introduction to Eigenvalues and Eigenvectors | Exercises | p.271 |
| 4.2 | Determinants | Exercises | p.292 |
| 4.3 | Eigenvalues and Eigenvectors of n X n Matrices | Exercises | p.309 |
| 4.4 | Similarity and Diagonalization | Exercises | p.320 |
| 4.5 | Iterative Methods for Computing Eigenvalues | Exercises | p.334 |
| 4.6 | Applications and the Perron-Frobenius Theorem | Exercises | p.370 |
| Chapter Review | p.376 |
Chapter 5
Orthogonality
| 5.1 | Orthogonality in R^n | Exercises | p.387 |
| 5.2 | Orthogonal Complements and Orthogonal Projections | Exercises | p.398 |
| 5.3 | The Gram-Schmidt Process and the QR Factorization | Exercises | p.405 |
| 5.4 | Orthogonal Diagonalization of Symmetric Matrices | Exercises | p.418 |
| 5.5 | Applications | Exercises | p.440 |
| Chapter Review | p.443 |
Chapter 6
Vector Spaces
| 6.1 | Vector Spaces and Subspaces | Exercises | p.459 |
| 6.2 | Linear Independence, Basis, and Dimension | Exercises | p.474 |
| 6.3 | Change of Basis | Exercises | p.489 |
| 6.4 | Linear Transformations | Exercises | p.498 |
| 6.5 | The Kernel and Range of a Linear Transformation | Exercises | p.513 |
| 6.6 | The Matrix of a Linear Transformation | Exercises | p.530 |
| 6.7 | Applications | Exercises | p.547 |
| Chapter Review | p.550 |
Chapter 7
Distance And Approximation
| 7.1 | Inner Product Spaces | Exercises | p.563 |
| 7.2 | Norms and Distance Functions | Exercises | p.589 |
| 7.3 | Least Squares Approximation | Exercises | p.609 |
| 7.4 | The Singular Value Decomposition | Exercises | p.632 |
| 7.5 | Applications | Exercises | p.644 |
| Chapter Review | p.646 |
