Linear Algebra : Theory and Applications
Second Edition
Ward Cheney & David Kincaid
Jones and Bartlett Learning
Table of Contents


Chapter 1. Systems of Linear Equations
1.1 Solving Linear Systems
1.2 Vectors and Matrices
1.3 Homogeneous Linear Systems

Chapter 2. Vector Spaces and Transformations
2.1 Euclidean Vector Spaces
2.2 Line, Planes, and More
2.3 Linear Transformations
2.4 General Vector Spaces

Chapter 3. Matrix Operations
3.1 Matrices
3.2 Matrix Inverses

Chapter 4. Determinants
4.1 Determinants: Introduction
4.2 Determinants: Properties and Applications

Chapter 5. Vector Spaces
5.1 Column, Row, and Null Spaces
5.2 Bases and Dimension
5.3 Coordinate Systems

Chapter 6. Eigensystems
6.1 Eigenvalues and Eigenvectors

Chapter 7. Inner Product Vector Spaces
7.1 Inner Product Spaces
7.2 Orthogonality

Chapter 8. Additional Topics
8.1 Hermitian Matrices and Spectral Theorem
8.2 Matrix Factorizations and Block Matrices
8.3 Iterative Methods

Appendix A. Deductive Reasoning, Proofs

Appendix B. Complex Arithmetic

Answers and Hints to Selected Problems

References