question archive Find an example of a vector space V, and a linear transformation T : V - V such that R(T) = ker(T)
Find an example of a vector space V, and a linear transformation T : V - V such that R(T) = ker(T)
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Find an example of a vector space V, and a linear transformation T : V - V such that R(T) = ker(T). Your vector space V must have dimension > 2. You may find it helpful to let V be a euclidean space and T a matrix transformation, but that is not necessary. You must explain why your example works.
