Question: 2. Decide if the following statement is True or False: Let U and V be finite dimensional vector spaces, and let Te L(U, V). If

2. Decide if the following statement is True or False: Let U and V be finite dimensional vector spaces, and let Te L(U, V). If dim Im T = min {dim , dim V}, then T is either injective or surjective. Note: min {A,B} = the minimum of the two values of A and B. Indicate your final answer by filling in exactly one circle below (unfilled o filled .) and justify your choice with a proof or counter-example. [5 marks] O True O False

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