## A new simple approach to linear dependence.(English)Zbl 1081.15500

Summary: We show how to prove that $$m$$ given vectors of $$F^m$$ are linearly dependent and how to find a non-trivial linear combination of these vectors giving the zero vector in this case without solving any system of equations.

### MSC:

 15A03 Vector spaces, linear dependence, rank, lineability

### Keywords:

linear dependence; vectors; linear combination
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