Let E and F be two vector spaces with the same finite dimension dim(E) = dim(F) For every linear map f: EF, the following properties are = n. equivalent: (a) f is bijective. (b) f is surjective.  (c) f is injective.. (d) Ker f = (0).

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A: In order to solve this problem you need to know the following notions:

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A: See the detailed solution below.

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