Question: 2. Let S = (x2 + x + 2, 2x2 + 2x +1, 1} and let W = span(S). Use the Gram-Schmidt Algorithm on S,

2. Let S = (x2 + x + 2, 2x2 + 2x +1, 1} and let W = span(S). Use the Gram-Schmidt Algorithm on S, in the given order, to find an orthogonal basis for W under the following inner product on P2 (R): (f (2), g(x) ) = f(-1)g(-1) + f(0)g(0) + f(1)g(1)

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