Question: 3. Let V and W he nite-dimensional vector spaces. a) Let T: V > W he a snrjeetive linear map. Prove that. there exists a

3. Let V and W he nite-dimensional vector spaces. a) Let T: V > W he a snrjeetive linear map. Prove that. there exists a linear map 5' : W > V such that T5 = I. [4] 1)) Let T: V w! H\" be an injective linear map. Prove that. there exists a linear map 3: W > V such that ST = I. [4]

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