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Makeup 5. (20 pts) Consider the following subset US R2 where U = XER2 9 2 x- (20-1)x (a) Prove U is a subspace of

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Makeup 5. (20 pts) Consider the following subset US R2 where U = XER2 9 2 x- (20-1)x (a) Prove U is a subspace of R2 for any value for c. (b) Find all values for c such that dim(U) = 3. If no such values for c exist, explain. (c) Find all values for c such that dim(U) = 2. If no such values for c exist, explain. (d) Find all values for c such that dim(U) = 1. If no such values for c exist, explain. (e) Find all values for c such that dim(U) = 0. If no such values for c exist, explain

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