A Second Course in Linear Algebra
eBook - PDF

A Second Course in Linear Algebra

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Second Course in Linear Algebra

About this book

Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access A Second Course in Linear Algebra by Stephan Ramon Garcia,Roger A. Horn in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. A Second Course in Linear Algebra
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Notation
  9. 0 Preliminaries
  10. 1 Vector Spaces
  11. 2 Bases and Similarity
  12. 3 Block Matrices
  13. 4 Inner Product Spaces
  14. 5 Orthonormal Vectors
  15. 6 Unitary Matrices
  16. 7 Orthogonal Complements and Orthogonal Projections
  17. 8 Eigenvalues, Eigenvectors, and Geometric Multiplicity
  18. 9 The Characteristic Polynomial and Algebraic Multiplicity
  19. 10 Unitary Triangularization and Block Diagonalization
  20. 11 Jordan Canonical Form
  21. 12 Normal Matrices and the Spectral Theorem
  22. 13 Positive Semidefinite Matrices
  23. 14 The Singular Value and Polar Decompositions
  24. 15 Singular Values and the Spectral Norm
  25. 16 Interlacing and Inertia
  26. APPENDIX A Complex Numbers
  27. References
  28. Index