Skip to main content

Determinants

  • Chapter
  • First Online:
Linear Algebra

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

  • 18k Accesses

Abstract

Before plunging in to the theory of determinants, we are going to make an attempt at defining them in a more geometric fashion. This works well in low dimensions and will serve to motivate our more algebraic constructions in subsequent sections.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 64.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Axler, S.: Linear Algebra Done Right. Springer-Verlag, New York (1997)

    Google Scholar 

  2. Bretscher, O.: Linear Algebra with Applications, 2nd edn. Prentice-Hall, Upper Saddle River (2001)

    Google Scholar 

  3. Curtis, C.W.: Linear Algebra: An Introductory Approach. Springer-Verlag, New York (1984)

    Google Scholar 

  4. Greub, W.: Linear Algebra, 4th edn. Springer-Verlag, New York (1981)

    Google Scholar 

  5. Halmos, P.R.: Finite-Dimensional Vector Spaces. Springer-Verlag, New York (1987)

    Google Scholar 

  6. Hoffman, K., Kunze, R.: Linear Algebra. Prentice-Hall, Upper Saddle River (1961)

    Google Scholar 

  7. Lang, S.: Linear Algebra, 3rd edn. Springer-Verlag, New York (1987)

    Google Scholar 

  8. Roman, S.: Advanced Linear Algebra, 2nd edn. Springer-Verlag, New York (2005)

    Google Scholar 

  9. Serre, D.: Matrices, Theory and Applications. Springer-Verlag, New York (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media New York

About this chapter

Cite this chapter

Petersen, P. (2012). Determinants. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3612-6_5

Download citation

Publish with us

Policies and ethics