Question: Let T : V W be a linear transformation, and {~v1, ~v2, ..., ~vn} a set of linearly dependent vectors in V . Prove that

Let T : V W be a linear transformation, and {~v1, ~v2, ..., ~vn} a set of linearly dependent vectors in V . Prove that the image vectors {T ( ~v1), T ( ~v2), ..., T ( ~vn)} are also linearly dependent in W .

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