Let P2 be the vector space of polynomials of lower or equal degree at 2 with the scalar product: ...

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Ensembles orthogonaux et bases orthogonales Exemple Soit P2 lespace vectoriel des polynômes de degré inférieur ou égal à 2 m

Let P2 be the vector space of polynomials of lower or equal degree
at 2 with the scalar product:

Let p1 (x) = 1 and p2 (x) = 2x - 1, two polynomials of P2.
1) Show that B = {p1, p2} forms an orthogonal set of P2.
2) Complete B to get a P2 base.
3) Let W = Vect {p1 (x), p2 (x)} be a vector subspace of P2,
to determine W ⊥.

math Advanced-Math

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