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Each of the following sets spans a subspace of the complex vector space of all functions from $\mathbb C$ to $\mathbb C$. In each case find a basis for the subspace and prove it is a basis; state the dimension

{$\exp(iz); \cos z;\sin z$}

{$\exp(iz); \cosh z;\sinh z$}

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    Please don't just dump undigested problems here. Tell us what you know about the problem, what steps you have taken to solve it, where you get stuck, and so on, so we can give more useful advice.2012-12-13

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