Question: a) (5 points) Let V and W be vector spaces over RR, and let T : V - W be a linear map. Suppose {v1,

a) (5 points) Let V and W be vector spaces over RR, and let T : V - W be a linear map. Suppose {v1, 02,."., Un} is a basis for V. Prove that {T(v1 ), T(v2), .., T(Un)} is a basis for Ran (T). b) (5 points) Let V be a vector space over R, and let T : IR" - V be a surjective linear map. Prove that Span {T(e1), T(ez), ..., T(en)} = V. Here e1, e2, en denotes the canonical basis for R&quot

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