Rev. ed. of: Introductory linear algebra with applications. 7th ed. c2001.

Includes index.

1. Linear Equations and Matrices --- 2. Applications of Linear Equations and Matrices (Optional) --- 3. Determinants --- 4. Vectors in Rn --- 5. Applications of Vectors in R2 and R3 (Optional) --- 6. Real Vector Spaces --- 7. Applications of Real Vector Spaces (Optional) --- 8. Eigenvalues, Eigenvectors, and Diagonalization --- 9. Applications of Eigenvalues and Eigenvectors (Optional) --- 10. Linear Transformations and Matrices --- Cumulative Review of Introductory Linear Algebra --- 11. Linear Programming (Optional)--- 12. MATLAB for Linear Algebra --- Appendix A: Complex Numbers --- Appendix B: Further Directions.

This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications. Emphasizing the computational and geometrical aspects of the subject, this popular book covers the following topics comprehensively but not exhaustively: linear equations and matrices and their applications; determinants; vectors and linear transformations; real vector spaces; eigenvalues, eigenvectors, and diagonalization; linear programming; and MATLAB for linear algebra. Its useful and comprehensive appendices make this an excellent desk reference for anyone involved in mathematics and computer applications.