Let A = P = [-25 4 -19 4 4 8 4 8 . Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP. -19 D =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let A
P =
=
-25 4
4
H
-19
8
4
8
-19
, D =
.
Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP.
Transcribed Image Text:Let A P = = -25 4 4 H -19 8 4 8 -19 , D = . Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP.
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