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Let A be a positive definite symmetric matrix. Show that there exists an invertible

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole ISBN: 9780538735452 298

Solution for problem 5.5.52 Chapter 5

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Problem 5.5.52

Let A be a positive definite symmetric matrix. Show that there exists an invertible matrix B such that A BT B. [Hint: Use the Spectral Theorem to write A QDQT . Then show that D can be factored as CT C for some invertible matrix C.]

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Step 1 of 3

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Step 2 of 3

Chapter 5, Problem 5.5.52 is Solved
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Textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign)
Edition: 3
Author: David Poole
ISBN: 9780538735452

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Let A be a positive definite symmetric matrix. Show that there exists an invertible