Let E be a 2 2 matrix such that E2 = E. Show that M22 =

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Let E be a 2 × 2 matrix such that E2 = E. Show that M22 = U ⊕ W, where U = [A | AE = A} and W = [B | BE = 0}. [Hint: XE lies in U for every matrix X.]

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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 06:49 AM

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Let E be a 2 2 matrix such that E2 = E. Show that M22 =

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First U is a subspace because 0E 0 and AE A and A 1 E A 1 implies t...View the full answer

Linear Algebra With Applications

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