**by Keith Nicholson**

DescriptionTable of ContentsDetailsHashtagsReport an issue ### Book Description

Linear Algebra with Applications by W. Keith Nicholson, traditionally published for many years is now being released as an open educational resource.

Overall, the aim of the book 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 textbook is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). ### Table of Contents

### Book Details

### Related Books

Overall, the aim of the book 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 textbook is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

This open book is licensed under a Creative Commons License (CC BY-NC-SA). You can download Linear Algebra with Applications ebook for free in PDF format (5.4 MB).

Chapter 1

Systems of Linear Equations

Chapter 2

Matrix Algebra

Chapter 3

Determinants and Diagonalization

Chapter 4

Vector Geometry

Chapter 5

Vector Space Rn

Chapter 6

Vector Spaces

Chapter 7

Linear Transformations

Chapter 8

Orthogonality

Chapter 9

Change of Basis

Chapter 10

Inner Product Spaces

Chapter 11

Canonical Forms

Appendix A

Complex Numbers

Appendix B

Proofs

Appendix C

Mathematical Induction

Appendix D

Polynomials

Title

Linear Algebra with Applications

Subject

Science and Mathematics

Publisher

Lyryx

Published

2019

Pages

698

Edition

1

Language

English

PDF Size

5.4 MB

License

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