Consider a linear transformation T from V to V with ker(D = {0}. If V is finite
Chapter 4, Problem 59(choose chapter or problem)
Consider a linear transformation T from V to V with ker(D = {0}. If V is finite dimensional, then T is an isomorphism, since the matrix of T will be invertible. Show that this is not necessarily the case if V is infinite dimensional: Give an example of a linear transformation T from P to P with ker(T) = (0) that is not an isomorphism. (Recall that P is the space of all polynomials.)
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