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Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 5 - Problem 5.5.52
Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 5 - Problem 5.5.52

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

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

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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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