Linear Algebra

(3 reviews)


Jim Hefferon, Saint Michael's College

Pub Date: 2016

ISBN 13: 978-1-9443250-3-9

Publisher: Independent

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Reviewed by Abraham Smith, Assistant Professor, University of Wisconsin-Stout, on 1/8/2016.

This is a complete textbook for Linear Algebra I. It proceeds through the expected material on vector and matrix arithmetic on examples, then it … read more



Reviewed by Iuliana Oprea, Associate Professor, Colorado State University, on 1/8/2016.

The book covers the standard material for an introductory course in linear algebra. The material is standard in that the topics covered are Gaussian … read more



Reviewed by Aaron Wangberg, Associate Professor, Winona State University, on 6/11/2015.

This text provides a fairly thorough treatment of topics for an introductory linear algebra course. It builds up the theory of linear algebra in … read more


Table of Contents

  • Chapter 1: Solving Linear Systems
  • Chapter 2: Vector Spaces
  • Chapter 3: Maps Between Spaces
  • Chapter 4: Determinants
  • Chapter 5: Similarity


About the Book

This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges.

About the Contributors


Jim Hefferon, Professor of Mathematics at St. Michael's College in Colchester, Vermont. B.S., M.S., Ph.D. University of Connecticut.