If you have a vector space you can find a set of elements and consider their span, and then look for elements that cannot be spanned by them and so add them to the set, if you can't add anymore then you have a basis.(adsbygoogle = window.adsbygoogle || []).push({});

My question is what happens if this process continues forever, do you automatically call it infinite dimensional or is there such a thing as anunspannablespace.

Also what happens if there is a set but it cannot be labeled nicely such as {sin(nx)}..

Thanks!!

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# Un-spannable vector space?

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