Preface

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Preface Preface

These notes are meant for a specific audience, namely the students in MTH 406 taught at Grand Valley State University in Winter 2025. Nevertheless, they are publicly available on the web, and anyone can use them in whatever way they wish.

This course is a third-semester course in linear algebra, where the first two semesters cover the content in Understanding Linear Algebra

understandinglinearalgebra.org

. Our aim will be to generalize some of that content by introducing vector spaces and to provide a more rigorous underpinning for some of the essential results we saw earlier.

The exposition somewhat follows that of Sheldon Axler’s Linear Algebra Done Right

⁴

linear.axler.net/

. An additional reference is Rob Beezer’s A First Course in Linear Algebra

⁵

linear.ups.edu/

. Of course, any errors or inconsistencies are mine so please feel free to point them out.

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