Understanding Linear Algebra is a freely available linear algebra textbook suitable for use in a first undergraduate linear algebra course. The text aims to support readers as they develop their ability to reason mathematically, their computational fluency, and their understanding of the role that linear algebra plays in shaping our society. It is also designed to support an active learning classroom environment.

Features

• Understanding Linear Algebra can support a two-course introductory sequence to linear algebra. While it is not meant to serve as an introduction to proofs, activities and exercises support students as they develop their ability to reason mathematically and communicate their understanding. At my university, our first two linear algebra courses do not require calculus as a prerequisite, and we find that many students thrive in it.
• Understanding Linear Algebra is intended to support active learning. Each section begins with a preview activity for students to complete before class and subsequently contains several activities for students to complete in class, perhaps working collaboratively in small groups. A solutions manual for the activities is available upon request.
• Each section contains numerous exercises from routine review to more in-depth, conceptual questions. Solutions are also available upon request.
• The text contains numerous embedded Sage cells to facilitate linear algebraic computations. Relevant Sage commands are introduced as needed and summarized in an appendix.
• Many applications are introduced and developed in depth to build an appreciation of how linear algebra plays a vital role in our society. These applications include topics such as computer animation, image compression, Google PageRank, least squares, principal component analysis, and singular value decompositions.
• Interactive diagrams embedded in the text help students develop an intuitive understanding of key linear algebra concepts.

Conditions of Use

This book is licensed under a Creative Commons License (CC BY-NC-SA). You can download the ebook Understanding Linear Algebra for free.