Question

e (2b) Solve:(u)a in Polcn CR) by finding: Mtrx(KK Mtrx( a, K), and by setting: Mtrx(u, Kand using row-reduction. On the facing page, check that your answer agrees with the answer to (2a); uo otherwise you will get no points on (2b). My problem:

Answer 1

Given that d^5/dx^(5) (u) = (1) in pol_(5) + 1 (R) = pol_(6) (R) and k = (x^R vert k elementof 0, 1, 2, 3, 4, 5, 6) elementof Bss (pol_(6) (R)) by finding matrix (d^5/dx^5, k, k), matrix (1, k) and by setting v = [v_0 v_1 v_2 v_3 v_4 v_5 v_6] and using the row reduction a) (1)1 + (0)x + (0)x^2 + (0)x^3 + (0)x^4 + (0)x^5 + (0)x^6 mtrx (1, k) = [1 0 0 0 0 0 0] d^5/dx^5 (1) = 0 = 0(1) + 0(x) + 0(x^2) + (0)x^3 + (0)x^4 + (0)x^5 + (0)x^6 d^5/dx^5 (x) = 0 = (0)1 + (0)x + ellipsis + (0)x^6 d^5/dx^5 (x^2) = 0 (0)1 + (0)x + (0)x^2 + ellipsis + (0)x^6 d^5/dx^5 (x^3) = 0 (0)1 + (0)x + (0)x^2 + ellipsis + (0)x^6 d^5/dx^5 (x^4) = 0 = (0)1 + (0)x + (0)x^2 + ellipsis (0)x^6 d^5/dx^5 (x^6) = 720 = (0)1 + (720)x + (0)x^2 + ellipsis + (0)x^6