domo2591 domo2591 06-06-2023 Mathematics contestada Let U = F [x], the F vector space of polynomials in the variable x having coefficients in F . Let T ā L(U, U ) be defined by T(f) = xf for all f ā F[x]. What is ker(T)? What is T(U)? Is T injective? Is T surjective?