What is it that you are having trouble with?
Hi, I have this problem and don't know how to go about it:
(P2 being the set of all polynomials of degree less than or equal to 2)
Let p(x), q(x) Є P2. You may assume that:
<p(x), q(x)> = (with limits from -1 to 1) defines an inner product on P2.
(A) Find a basis for the subspace of P2:
V= {a+b+ax+bx^2|a,b Є R}
(B) Using the inner product defined above and the basis vectors found in (A), use the Gram-Schmidt procedure to find an orthonormal basis for V.
Thank you.