38. Let A be a symmetric n x n matrix of rank n - 1 such that...

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38. Let A be a symmetric *n x n* matrix of rank *n - 1* such that **1'A = 0**; that is, every column of A adds to zero. Show that **B = A + (1/n)11'** is nonsingular, and the inverse is A + (1/n)J.

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Matrices With Applications In Statistics

ISBN: 9780534980382

2nd Edition

Authors: Franklin A Graybill

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Question Posted: Sep 20, 2024 05:00 AM

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38. Let A be a symmetric *n x n* matrix of rank *n - 1* such that **1'A = 0**; that is, every column of A adds to zero. Show that **B = A + (1/n)11'** is nonsingular, and the inverse is A + (1/n)J.
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38. Let A be a symmetric *n x n* matrix of rank *n - 1* such that...

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Matrices With Applications In Statistics

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38. Let A be a symmetric n x n matrix of rank n - 1 such that...