Question
Either prove the following statement or else give a counterexample to show that it is false: If V is a finite dimensional vector space and
Either prove the following statement or else give a counterexample to show that it is false: If V is a finite dimensional vector space and U is a subspace of V which is invariant for all linear maps from V to V , then either U = {0} or U = V
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
