Show that A+ is the only matrix that satisfies the Penrose conditions for A. To do this,

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Show that A+ is the only matrix that satisfies the Penrose conditions for A. To do this, assume that A' is a matrix satisfying the Penrose conditions: (a) AA'A = A, (b) A'AA ' = A', and (c) AA' and A' A are symmetric. Prove that A' = A+.

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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 06:36 AM

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Show that A+ is the only matrix that satisfies the Penrose conditions for A. To do this,

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As suggested in the hint suppose that A0 is a matrix satisfying t...View the full answer

Linear Algebra A Modern Introduction

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