Hi,

Can anyone help with the following question:

Let Vn be the vector space of of polynomials,

h element of R[x],

deg(f)<= n.

For h,k element of Vn - define:

f(h,k) = integral between 0 and infinity of [ h(x)k(x)(e^-x)] dx

a) Show that f is symmetric bilinear form

b) Let B be the basis {1,X, . . . X^n} of Vn. Find [f] w.r.t B.