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Find the coordinate vector of p relative to b

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Question: Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p(t) = - 1 + 8t2 + 8t3. Find the coordinate vector of p relative to B.

Exercise: The first four Hermite polynomials are 1, 2t, - 2 + 4t2, and - 12t + 8t3 These polynomials arise naturally in the study of certain important differential equations in mathematical physics.2 Show that the first four Hermite polynomials form a basis of P3.

Reference no: EM131555490

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