Question: Suppose that f. V W is an isomorphism. Prove that the set {1, . . . , k} V is linearly dependent if

Suppose that f. V → W is an isomorphism. Prove that the set {1, . . . , k} ⊆ V is linearly dependent if and only if the set of images {f(1), . . . , f(k)} ⊆ W is linearly dependent.

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