Question: Problem 3. In this question, you will be working with a new definition. Let T : V - W be a linear transformation. Define PungaTA

Problem 3. In this question, you will be working with a new definition. Let T : V - W be a linear transformation. Define PungaTA = {x : T(x) = y for some y e A}. (a) Which space is Punga, A a subset of? (2 points) (b) Prove that if A is a subspace then Punga, A is a subspace. (6 points) (c) In general is Punga, A a subspace? (2 points)
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