Let V R2[x] be the real vector space of polynomials of degree at most 2. Let {fo, f1, f2} with fo(x) = 1, f1 (x) = x, and f2(x) = x² be the standard basis of V. Define the inner product (, ·) on V by B = (f,8) = |, f(x)g(x) dx. (i) Use the Gram-Schmidt algorithm on B to find an orthogonal basis of V.

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A: The answer is given below:

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A: From the given information we get:

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A: Solution by using Gram Schmidt process as follows :

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A: see my solutiuon

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