Question: I need help with this problem involving vectors and subspaces. 2. (6 points) Let S be any set and define F* = {g|g: S F}

I need help with this problem involving vectors and subspaces.

2. (6 points) Let S be any set and define F* = {g|g: S F} be the set of all functions from S to a field F'. (a) Define appropriate operations such that F* forms a vector space over F' and verify that it is indeed a vector space. (b) Let V = R14, that is, the set of all real valued functions f : [0,1] R. Consider the subset C C V with C = {f V|f is continuous}. Verify that C is a subspace of V

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