17. Let V and W be finite-dimensional vector spaces and T: V W be linear....

 

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17. Let V and W be finite-dimensional vector spaces and T: V → W be linear. (a) Prove that if dim(V) < dim(W), then T cannot be onto. (b) Prove that if dim(V) > dim(W), then T cannot be one-to-one. 17. Let V and W be finite-dimensional vector spaces and T: V → W be linear. (a) Prove that if dim(V) < dim(W), then T cannot be onto. (b) Prove that if dim(V) > dim(W), then T cannot be one-to-one.

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Final answer See analysis Analysis Let V and W be finitedimensional vector spaces and T VW be a line... View the full answer