Offering the most geometric presentation available, Linear Algebra with Applications emphasizes linear transformations as a unifying theme.

This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum.

Exercise sets are broad and varied and reflect the author's creativity and passion for this course. The 5th Edition reflects careful review and appropriate edits throughout, while preserving the order of topics of the previous edition.

Table of Contents

1. Linear Equations

2. Linear Transformations

3. Subspaces of Rⁿ and Their Dimensions

4. Linear Spaces

5. Orthogonality and Least Squares

6. Determinants

7. Eigenvalues and Eigenvectors

8. Symmetric Matrices and Quadratic Forms

9. Linear Differential Equations