# Linear Algebra with Maple

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

## Table of Contents

Preface

Chapters:

- Systems of Equations
- Augmented Matrices and Elementary Row Operations
- The Algebra of Matrices
- Inverses of Matrices
- Determinants, Adjoints, and Cramer's Rule
- Application: Matrix Algebra and Modular Arithmetic
- Vector Products, Lines, and Planes
- Vector Spaces and Subspaces
- Independence, Basis and Dimension
- Row Space, Column Space, and Null Space
- Inner Product Spaces
- Orthonormal Bases and the Gram-Schmidt Process
- Change of Basis and Orthogonal Matrices
- Eigenvalues and Eigenvectors
- Diagonalization and Orthogonal Diagonalization
- Matrices and Linear Transformations from
**R**^m To **R**^n
- Matrices of General Linear Transformations; Similarity
- Applications and Numerical Methods

Appendix A. Maple V Mini-Reference

Appendix B. User-Defined Functions

HTML originally written by Reid M. Pinchback

Copyright 1996, Massachusetts Institute of Technology

Last modified: 96/06/10
*(reidmp@mit.edu)*