On the definition of linear independence

Yonah Cherniavsky, Artour Mouftakhov

Research output: Contribution to journalArticlepeer-review


We discuss a certain very common flaw in the definition of linear independence, which is one of the most important concepts taught in any college or university course of Linear Algebra. This note may be useful to lecturers and students which teach and study Linear Algebra of any level and like the mathematically rigorous approach.

Original languageEnglish
Pages (from-to)285-288
Number of pages4
JournalMathematics Enthusiast
Issue number1-3
StatePublished - 2017


  • Basis of a vector space
  • Linear independence


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