I have been given that V is a finite dimensional vector space over a field F and that W is a subspace of V. I need to show that v is an element of W if and only if v+w is an element of W.(adsbygoogle = window.adsbygoogle || []).push({});

I know that because it is an 'if and only if' proof it needs to proved in both directions but don't really know where else to go from there! Any help would be great, thanks.

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# Vector Subspaces

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