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Read more about Linear Algebra with Applications

Linear Algebra with Applications

(3 reviews)

W. Keith Nicholson, University of Calgary

Copyright Year: 2018

Last Update: 2021

Publisher: Lyryx

Language: English

Formats Available

Conditions of Use

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Reviewed by suman balasubramanian, Associate professor of mathematics, DePauw University on 12/31/21

The book is a well written standard textbook in linear algebra that covers all the topics essential for a one to two semester sequence of the course. read more

Reviewed by Sergio Maria-Fagundez, Mathematics Instructor, Thomas Nelson Community College on 3/21/19

The book covers all main areas and ideas in any regular Linear Algebra course such as: Determinants, Vector Spaces, Eigenvalues, etc. It does a great job in showing real life applications of the concepts presented throughout the book. read more

Reviewed by Sandra Sze, Assistant Professor, LAGCC on 1/13/19

The text covers topics in our syllabus. read more

Table of Contents

  • 1 Systems of Linear Equations
  • 2 Matrix Algebra
  • 3 Determinants and Diagonalization
  • 4 Vector Geometry
  • 5 Vector Space R
  • 6 Vector Spaces
  • 7 Linear Transformations
  • 8 Orthogonality
  • 9 Change of Basis
  • 10 Inner Product Spaces
  • 11 Canonical Forms

A Complex NumbersB ProofsC Mathematical InductionD PolynomialsSelected Exercise Answers

Ancillary Material

  • Lyryx
  • About the Book

    After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today's students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.

    Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.

    The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

    About the Contributors


    Dr. W. Keith Nicholson earned his undergraduate Degree in Applied Mathematics at the University of Alberta, and received his Ph.D. in Pure Mathematics from the University of California at Santa Barbara in 1970. He then moved to the University of Calgary, and has been a professor in the Department of Mathematics and Statistics since 1979, where he has been carrying out research in a branch of algebra called "Ring Theory". His continuing interest in teaching undergraduate students has led to another book in Linear Algebra (now in its third edition), a text in Abstract Algebra (second edition), and the creation (with Professor Claude Laflamme), of an internet tutorial for Linear Algebra called ILAW (Interactive Linear Algebra on the Web). Keith is married and has two grown sons.

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