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# Solved: a. Show that an A-orthogonal set of nonzero vectors associated with a positive

ISBN: 9781305253667 457

## Solution for problem 15 Chapter 7.6

Numerical Analysis | 10th Edition

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Problem 15

a. Show that an A-orthogonal set of nonzero vectors associated with a positive definite matrix is linearly independent. b. Show that if {v(l) , v <2) ,... , v*"'} is a set of ,4-orthogonal nonzero vectors in M and z'v''1 = 0, for each i = 1,2,... ,n, then z = 0.

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EIGHTH EDITION Fundamentals of Differential Equations This page intentionally left blank EIGHTH EDITION Fundamentals of Differential Equations R. Kent Nagle Edward B. Saff Vanderbilt University Arthur David Snider University of South Florida Addison-Wesley Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Publisher Greg Tobin Editor in Chief Deirdre Lynch Senior Acquisitions Editor William Hoffman Spon

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Solved: a. Show that an A-orthogonal set of nonzero vectors associated with a positive