Let Pala, bj be the linear space of polynomial functions of degree less than or equal to 2 in the interva la, b), and equip it with scalar product g) = Pit)a(t) dt. Find an ON-basis for the subspace...

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Extracted text: Let Pala, bj be the linear space of polynomial functions of degree less than or equal to 2 in the interva la, b), and equip it with scalar product g) = Pit)a(t) dt. Find an ON-basis for the subspace N. В.5 N = {p € P2[-1, 1] : p(-1) = 3p(0)}