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Is the basis of a vector space always its minimum subspace?

Excuse me if my question is wrong but I study linear algebra atm

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    a basis is not a subspace. – 2017-02-03
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    It is wrong but that's not problem. The problem, perhaps, is that it shows there's some basic misunderstanding/ignorance of the very basics of linear algebra. A basis almost **never** is a subspace. What you can say is that a basis is a *minimal generating* set , or what is the same: a *maximal linearly independent* set. – 2017-02-03
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    Oh excuse me I meant to write the minimal generating set. Nice then thank you for your response – 2017-02-03
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    it is **a** minimal generating set, but it is in general not unique. There are many bases for a vector space, all with the same cardinality. – 2017-02-03
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    @argiriskar Fine, but there's usually not **the** minimal/maximal such set, but *a" minimal/maximal ... – 2017-02-03

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A basis is a minimal spanning set also called a minimal generating set. Being a spanning or generating set means linear combinations of elements in the set get you everything in the vector space. A minimal subspace will just be zero.