Question: Please help me with these 2 problems, thank you!!! Question 9. Is C[0, 1] an inner product space under the following formula? 1 (g) =

Please help me with these 2 problems, thank you!!!

Question 9. Is C[0, 1] an inner product space under the following formula? 1 (g) = [0 (f(x)+g(x))dx Question 10. Let S be the subspace of the inner product space P3 (R) generated by the polynomials l x and 2 x + x2 where (f, g) is dened to be (f, g) = J: f (x)g(x)dx . Find a basis for the orthogonal complement of S

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