For introductory sophomore-level courses in Linear Algebra or Matrix Theory.
This text presents the basic ideas of linear algebra in a manner that offers students a fine balance between abstraction/theory and computational skills. The emphasis is on not just teaching how to read a proof but also on how to write a proof.
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Table of Contents
Glossary for Linear Algebra
Chapter 1. Linear Equations and Matrices
Chapter 2. Solving Linear Systems
Chapter 4. Real Vector Spaces
Chapter 5. Inner Product Spaces
Chapter 6. Linear Transformations and Matrices
Chapter 3. Determinants
Chapter 7. Eigenvalues and Eigenvectors
Chapter 8. Applications of Eigenvalues and Eigenvectors