b.) answer. Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your

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Q 3 Only do part B on paper please.
3. Let C[0, 1] be equipped with the inner product (f.g) = f f(x)g(x)dx, where f = f(x) and g = g(x).
Let f = x. Find ||f||.
b.)
answer.
Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your
Transcribed Image Text:3. Let C[0, 1] be equipped with the inner product (f.g) = f f(x)g(x)dx, where f = f(x) and g = g(x). Let f = x. Find ||f||. b.) answer. Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your
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