(4) (Differentiation continued) Recall that RM] is the (innite-dimensional) vector space consisting of all polynomials of all degrees. Given any p 6 RM], use linear algebra to argue that there exists a polynomial q 6 RM] such that 5Q" + 361' = 29 An answer that uses integration does not count! Hint: This question can be translated to a question about a linear transformation T:R[m] > R[:r] being onto. Recall that T is onto if for all y in the codomain, there exists a vector :1: in the domain such that T(:1:) = y. RankNullity can be helpful in showing that something is onto but you need to nd a way to get a linear map between vector spaces of nite dimension. This is just a suggestion and there are multiple ways to solve this