2. Determine whether the given set is a subspace of the given space. If it is a subspace give a proof, if it is not give a counterexample. (a) V = R¹, S = a -b+c=0. ER (b) W = ab (c) W = (ar² +2r+e: a. c are real numbers) V = P₂ (d) W = The set of all symmetric matrices (A= A). V= M₂x2(R). V = R³.

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