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Question: 1 which of the following sets w are subspaces of...

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1. Which of the following sets W are subspaces of V (and hence are linear spaces themselves)? Justify your answers by providing arguments showing they are closed under addition and scalar multiplication, or include a counterexample showing they are not. (a) V = P2 and W = {p ∈ P2 : p(1) = 1} (b) V = C 1 (R, R) and W = {f(x) ∈ V : f 0 (x) = 0}

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