2012-11-13T01:14:15ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=18405 Let where .
Then
.
This suggests that a basis for
is .
All you have to do is to prove it.
NB: I've just shown that the set spans W; it remains for you to prove that it's linearly independent.
]]>http://www.mathisfunforum.com/profile.php?id=502822012-11-13T01:14:15Zhttp://www.mathisfunforum.com/viewtopic.php?pid=239678#p239678let V be a vector space of all polynomials with real coefficients with degree at most n where n>=2, consider the elements of V as a function from R to R. define W={p belongs to V∫egration 0 to 1 p(x) dx=0} , show thar W is a subspace of V and dim W= n. I have proved that W is a subspace but couldnot prove that din W= n ]]>http://www.mathisfunforum.com/profile.php?id=1953632012-11-12T19:36:32Zhttp://www.mathisfunforum.com/viewtopic.php?pid=239650#p239650