If A is an n n matrix, then A is called idempotent if A2 = A.

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If A is an n × n matrix, then A is called idempotent if A2 = A.
(a) Verify that In and O are idempotent.
(b) Find an idempotent matrix that is not In or O.
(c) Prove that the only n × n nonsingular idempotent matrix is In.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 06:58 AM

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If A is an n n matrix, then A is called idempotent if A2 = A.

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a I n 2 I n and O 2 O b One su...View the full answer

Elementary Linear Algebra with Applications

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