Question: Let T:V->W be a linear transformation from an nth-dimensionalvector space V to an m-dimensional vector space W. Let and be ordered bases for V and

Let T:V->W be a linear transformation from an nth-dimensionalvector space V to an m-dimensional vector space W. Let and be ordered bases for V and W. Prove that therank(T)=rank(LA) and thatnullity(T)=nullity(LA) where A=

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