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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
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