Consider the vector space P no of polynomials of degree ::5 n. Let/ and g be elements of

Chapter 6, Problem 6

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Consider the vector space P no of polynomials of degree ::5 n. Let/ and g be elements of this space. Prove that the following function satisfies axioms 3 and 4 of the inner product (!, g) = f J(x)g(x)dx (This exercise completes Example 3 of this section, showing that this function is an inner product.)

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