Linear Algebra: A Pure and Applied First Course

For freshman/sophomore-level courses in linear algebra.

This innovative new way of teaching a first linear algebra course stresses an “Active Reading” theme that teaches students to reach mathematics. A secondary theme of the text is much more applied: solving least square solutions to AX = b.

Table of Contents

1. The Geometry of the Plane and 3 Space.
2. Matrices and Linear Equations.
3. Determinants and Eigenvalues.
4. Vector Spaces.
5. Linear Transformations.
6. Orthogonality.
7. The Spectral Theorem.
8. Applications.
Show and Prove.
Things I Must Remember.
Solutions to Selected Exercises.
Solutions to True/False Questions.
Glossary.
Index.