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Linear independence and dependence

  • Larry Smith
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

A set of vectors E is said to be linearly dependent if there exist distinct vectors A1,…, Ak in E and numbers a1ak, not all zero, such that
$$\left( * \right)\,\,\,a_1 A_1 + a_2 A_2 + \ldots + a_k A_k = 0$$
.

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Copyright information

© Springer-Verlag, New York Inc. 1978

Authors and Affiliations

  • Larry Smith
    • 1
    • 2
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenWest Germany
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

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