Question: Let T: 9(T) -> Y be a linear operator whose inverse exists. If {x1, . . ., x,) is a linearly independent set in 9(T),

Let T: 9(T) -> Y be a linear operator whose inverse exists. If {x1, . . ., x,) is a linearly independent set in 9(T), show that the set [Tx], . . . , Tx,} is linearly independent

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