Which of the following are subspaces of F[0, 1]? Support your answer. (a) U = {f |
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(a) U = {f | f(0) = 0}
(b) U = {f | f(x) ≥ 0 for all x in [0, 1]}
(c) U = {f | f(x + y) = f(x) + f(y) for all x and y in [0, 1]}
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a No U is not closed under addition For example if f and g ...View the full answer
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