(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

V is a vector space

3. The attempt at a solution

If S is smaller than V then there exists a T such that S + T = V. OTHERWISE S = V. I'm not sure what assumptions am I making which I could break down to prove...

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# Homework Help: Given a subspace S<=V, prove that there exists T<=V such that V=S⊕T.

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