1.22 Represent each linear map with respect to each pair of bases. (a) d/dx: Pn -> Pn with respect to B, B where B = (1, x, .. ., x" ), given by do + a q x + a z x - + . . . + anx" +> a1 + 2azx + . .. + nanx"-1 (b) S: Pn -+ Pn+1 with respect to Bn, Bn+1 where Bi = (1, x, .. ., xi ), given by do + a1 x + azx- + . . . + anx" => dox +2x alx2+... an n+ 1 n+ 1 (c) So : Pn -+ R with respect to B, &, where B = (1, x, . .., x") and &1 = (1), given by do + a1 x + azx- + . . . + anx -> dot 21 + ... + an n +1 Section III. Computing Linear Maps 221 (d) eval3 : Pn - R with respect to B, &, where B = (1, x, . .., x" ) and &1 = (1), given by do + a1 x + azx do + a1 . 3 + a2 . 32 + ... + an . 37 (e) slide_1 : Pn -+ Pn with respect to B, B where B = (1, x, . . ., x" ), given by a o + a 1 x + az x do + a1 . (x + 1) +.. . + an . (x+1)&quot