-2 -2 P with rational D = PT AP. Let A = -4 -4 -13 entries and a diagonal matrix I - -13 Find an orthogo

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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[-10 -2
-2 -13
-2
-4 -13]
P with rational entries and a diagonal matrix D such that
D = PT AP.
Let A
P =
00
00
000
I
-2
-4 Find an orthogonal matrix
D=
01
00
000
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:[-10 -2 -2 -13 -2 -4 -13] P with rational entries and a diagonal matrix D such that D = PT AP. Let A P = 00 00 000 I -2 -4 Find an orthogonal matrix D= 01 00 000 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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