Let A be an n n matrix such that A2 = O. Prove that rank (A)

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Let A be an n × n matrix such that A2 = O. Prove that rank (A) . . . n/2.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:08 AM

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Let A be an n n matrix such that A2 = O. Prove that rank (A)

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We show that colA nullA and then use the Rank Theorem Suppose x c i a i col A Let a i be the i ...View the full answer

Linear Algebra A Modern Introduction

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