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

My question is if u+v is in the subspace can you say that u or v is in the subspace? If not would there be a counterexample?

2. Relevant equations

closed under addition/scalar multiplication

3. The attempt at a solution

I know that if u or v were in the subspace they would be closed under addition or multiplication. I don't know if you can say the same for (u+v) and apply it just to u or v.

Thank you for any help.

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# Homework Help: U+v in subspace W, is u or v in subspace

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