Question: Let U = {19(50) 6 PAIR) | 19(3) = P'(5)}= where 19(5E) = [5] A Let p1($),p2(m) E U. Show that 191(5):) 4p2(:v) E U.
Let U = {19(50) 6 PAIR) | 19"(3) = P'\"(5)}= where 19"(5E) = [5] A Let p1($),p2(m) E U. Show that 191(5):) 4p2(:v) E U. [5] B Find a basis of U. ) ) [5] C) Extend the basis of U to a basis of P3 (R). [5] D) Find a subspace W of 1P3(R) such that EUR) 2 U EB W
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