please help with this question asap Linear Algebra

Q4 Invertible8 PointsLet F be the vector space of infinitely differentiable functions from R to R. Consider thesubspaceW = span{e , sin(2t), cos(3t) }.(a) (3pts) Show that the three vectors above are linearly independent.(b) (5pts) Consider the linear operator T : W - W defined byT (f ) = f" (t) -af(t) =d2at 2 - al ) ( f ).For which real values of a is T invertible?EPlease select file(s)Select file(s)