I hope someone can help me (guide) in this theorem.(adsbygoogle = window.adsbygoogle || []).push({});

How can I show that a "subset W of a vector space V is indeed

a subspace of V if and only if given u and v as vectors in W and

a and b are said to be scalars, then au + bv is in W."?

Can I assume a vector with my desired number of elements?

Also I am sure that W is a subset of V because it's given.

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# On proving real vector spaces (subspaces)

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