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-14 2 4 Let A= 2 -17 2 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D=PTAP. 4 2 -14 D= Note: You'll probably need to do a little bit of extra work to ensure that each entry in P is a rational number

-14 2 4 Let A= 2 -17 2 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D=PTAP. 4 2 -14 D= Note: You'll probably need to do a little bit of extra work to ensure that each entry in P is a rational number

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-14 2 4 Let A = 2 -17 2 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP 4 2 -14 D= Note: You'll probably need to do a little bit of extra work to ensure that each entry in P is a rational number
Transcribed Image Text:-14 2 4 Let A = 2 -17 2 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP 4 2 -14 D= Note: You'll probably need to do a little bit of extra work to ensure that each entry in P is a rational number
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