Dear Smart people,

I desparately need someones help with this. I have only a few days til my exam.

Please dont give me a hint.

Please give a full explanation.

Suppose that {u1, u2, u3} is a basis for a vector space V , and that W is a subspace of V .

Is it always true that some subset of {u1, u2, u3} is a basis for W? Explain..

Thankyyou