Let A=(aij)nxn be symmetric and positive definite. Show that laul< (anan), , lis = 1,2,..n 9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let A=(ajj) mxn be symmetric
Show that
| aij | < (aži ajj)
(awan)
9
and positive definite.
is = 1,2, ... n
Transcribed Image Text:Let A=(ajj) mxn be symmetric Show that | aij | < (aži ajj) (awan) 9 and positive definite. is = 1,2, ... n
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