Let v be the vector space of all real polynomials of degree at most 3. define s:v>v by s(p(x)) = q«),vp(x) ev, where q(x) = p(r+1)- then the matrix of s in the

Let V be the vector space of all real polynomials of degree at most 3. Define S:V>V by S(P(x)) = Q«),Vp(x) eV, Where Q(x) = p(r+1)- Then the matrix of S in the basis 1, x,,x*}, considered as column vectors, is given by: 10 0 0 0 20 0 (a.) 0 0 3 0 0 00 4 01 23 (b.) 0 0 1 3 o 0 0 1 |112 3 1 23 (c.) 2 2 23 3 3 3 3 o 0 0 (d.) 10 0 o 10 0 0 0 1 o please explain the answer