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- Find a basis for (null(B))-, where 1 2 -1 -3 2 2 4 -2 1 4 B := 1 2 3 -1 -2 1 2 11 -11 -10 -Which of the following sets of polynomials form a basis for P2? (i) 1, p2 1- 5х, рз = x, P4 (i1) рі 1+ 2x + 5x-, p2 4 +x 1 + 9x + x2 || (iii) pi = 1+x, p2 = 9x + x², p3 A) (i) and (ii) only (B) (i) only (C) (ii) only (D) (ii) and (iii) only (E) (i) and (iii) only (F) (iii) only G) none of them (H) all of themLet S = {1 + 5x, 1 – 2x²}. Which of the following polynomials could be added to the set S to form a basis for P2? (i) 2 + 5x – 2² (i) 6 + 5х — 10х2 (i) 5 + 10х — бх2 (A) all of them (B) (iii) only (C) (ii) only (D) none of them (E) (ii) and (iii) only (F) (i) and (ii) only (G) (i) only (H) (i) and (iii) only
