Question: Let X and Y be vector spaces over a field F, and let T: X->Y is a one-to-one linear transformation and that x 1 ,

Let X and Y be vector spaces over a field F, and let T: X->Y is a one-to-one linear transformation and that x1, ..., xn is a linearly independent set of vectors in Y. Prove the set of vectors Tx1, ..., Txn is linearly independent in Y

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