Chapter-opening discussions
Chapter-opening discussions revisit what the student has previously read (in the Rn setting) and thoroughly explain how the concept(s) will now apply to abstract vector spaces.

Coverage of Conceptual Topics
Conceptual topics are explored early and often, blended with topics that are more computational. This early introduction and consistent revisiting of previously discussed topics gives students time to digest them. [Notice, as examples, conceptual topics span and linear independence introduced in Chapter 2.]

Theories and Proofs
While primarily written for an applied audience, *Linear Algebra with Applications* is not short on the theories and proofs comprising the essential mathematics.

Practice Problems and Supplementary Exercises
**NEW! Practice Problems and Supplementary Exercises** sections provide more opportunities for students to apply what they learned (and give instructors more homework options from which to choose). Second Edition, contains over 2600 exercises, covering a wide range of types (computational to conceptual to proofs) and difficulty levels.

Ample Instructional Examples
**Ample Instructional Examples** are used to introduce new topics. The Practice Problems (previously mentioned) can also be used as extra examples.

Key Terms Explained
Definitions of key terms are offset from the exposition, making them easier to identify.

Green Engineering Theme
The pervasive Green Engineering Theme demonstrates ways in which engineering is used in attempts to provide environmentally-friendly benefits.

Computational Comments
**Computational Comments** provide insight to the computation(s) and problem solving related to the topic.