Linear Algebra : Theory and Applications
 Ward Cheney & David Kincaid
Jones and Bartlett (c) 2009

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
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10 June 2007