Show that the only subspaces of V that are T-invariant for every operator T : V

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Show that the only subspaces of V that are T-invariant for every operator T : V → V are 0 and V. Assume that V is finite dimensional. [Hint: Theorem 3 §7.1.1

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:51 AM

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Show that the only subspaces of V that are T-invariant for every operator T : V

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Suppose that a subspace U of V is Tinvariant for every linear op...View the full answer

Linear Algebra With Applications

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