Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.Show work on scratch. (1177) 711 7 (7 711)
Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.Show work on scratch. (1177) 711 7 (7 711)
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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![Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.Show work on scratch.
[11 7 7]
711 7
7 711
[14/3-1/√2-146]
P
P-1/√3 1-√2-1/√√6D-040
11-√√3 0
21-√6
[25 0 0
[25 0 0
D- 040
04
004
143 142 14√√6]
25 00
P 1/3-1/2 1/√6.D-0 25 0
[-1/√√30 2/√√6
004
[1/√√3-1/√/2-1/√√6]
[40 01
P-13 1/2-1/D-04 0
1/√3 0 24√√6
00 25](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7fe5a73-45e4-4166-8ba1-50e355550dfc%2Faf583d1e-7cb0-4a94-b888-e6e26a66c0e7%2Fyiy48o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.Show work on scratch.
[11 7 7]
711 7
7 711
[14/3-1/√2-146]
P
P-1/√3 1-√2-1/√√6D-040
11-√√3 0
21-√6
[25 0 0
[25 0 0
D- 040
04
004
143 142 14√√6]
25 00
P 1/3-1/2 1/√6.D-0 25 0
[-1/√√30 2/√√6
004
[1/√√3-1/√/2-1/√√6]
[40 01
P-13 1/2-1/D-04 0
1/√3 0 24√√6
00 25
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