Linear Algebra with Maple

Wm. C. Bauldry, B. Evans, J. Johnson

Table of Contents

Preface

Chapters:

1. Systems of Equations
2. Augmented Matrices and Elementary Row Operations
3. The Algebra of Matrices
4. Inverses of Matrices
5. Determinants, Adjoints, and Cramer's Rule
6. Application: Matrix Algebra and Modular Arithmetic
7. Vector Products, Lines, and Planes
8. Vector Spaces and Subspaces
9. Independence, Basis and Dimension
10. Row Space, Column Space, and Null Space
11. Inner Product Spaces
12. Orthonormal Bases and the Gram-Schmidt Process
13. Change of Basis and Orthogonal Matrices
14. Eigenvalues and Eigenvectors
15. Diagonalization and Orthogonal Diagonalization
16. Matrices and Linear Transformations from R^m To R^n
17. Matrices of General Linear Transformations; Similarity
18. Applications and Numerical Methods

Appendix A. Maple V Mini-Reference

Appendix B. User-Defined Functions