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- scientia
- 2012-11-13 12:14:15
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.
- princess snowwhite
- 2012-11-13 06:36:32
let 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 