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