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the question is shown below.

1. Let T : V > W be a. linear map of nite dimensional vector spaces. Prove the following facts. You can use results from the previous problem set. (Note: Injective means one-to-one, surjective means onto and bijeetive means one-toone and onto.) (a) The map T is injective 1E dim{InJ(T]] = dim V. (b) If dim W