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.
Cherniavsky, Yonah and Mouftakhov, Artour
"On the definition of linear independence,"
The Mathematics Enthusiast: Vol. 14
, Article 16.
Available at: http://scholarworks.umt.edu/tme/vol14/iss1/16