Linear Algebra with Maple V

E. Johnson

Table of Contents

Preface

Chapters:

1. Introduction
   • Getting Started with Maple
   • Editing, Saving, and Retrieving Your Work
   • An Introductory Tour of Maple
2. Matrices and Linear Systems
• The Linear Algebra Package
• Gaussian Elimination and Row Reduction
• More on Matrices in Maple
• Matrix Arithmetic
• det and Other Built-in Matrix Functions
• Applications
3. The Algebra of Vectors
• Introduction to Vectors in Maple
• Span and Linear Independence
• Bases, Dimension, and Coordinates
• Subspaces Associated with a Matrix
• The Gram-Schmidt Procedure
• Applications
4. Eigenspaces
• Eigenvalues and Eigenvectors
• Similarity
• Applications
5. Linear Transformations
• Linear Transformations in Maple
• Matrices and Linear Transformations
• Applications