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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
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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Fundamentals of Physics
Authors: Jearl Walker, Halliday Resnick
8th Extended edition
471758019, 978-0471758013
