(a) Prove that the polynomials form an orthogonal basis for the vector space P3 of cubic polynomials...
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form an orthogonal basis for the vector space P3 of cubic polynomials for the L2 inner product
(b) Find an orthonormal basis of V3.
(c) Write t3 as a linear combination of P0, P1, P2, P3 using the orthogonal basis formula (5.7).
Transcribed Image Text:
Po(1) = 1, P,() = 1, P2(1) = r? - . P3(1) = r³ – }
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