Skip to main content

Linear Independence and Dependence

  • Chapter
Book cover Linear Algebra

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

  • 4156 Accesses

Abstract

A nontrivial vector space1 always contains infinitely many elements. However, it is often possible to describe the elements by means of only finitely many vectors, and in such a way that the description of each individual vector is unique.

Article FootNote

With real or complex scalars.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media New York

About this chapter

Cite this chapter

Smith, L. (1998). Linear Independence and Dependence. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1670-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1670-4_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7238-0

  • Online ISBN: 978-1-4612-1670-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics