Let be a finite dimensional vector space and let and be two families of vectors of such that and . Among the following propositions, which one is true?

Question

Let    be a finite dimensional vector space and let    and    be two families of vectors of    such that    and   . Among the following propositions, which one is true?

Accepted Answer

If    is a linearly independent set then    is not a spanning set.

Answer

If    is not a spanning set then    is a linearly independent set.

Answer

If    is not a spanning set then    is a linearly independent set.

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Let be a finite dimensional vector space and let and be two families of...

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