The symmetric matrix A below has distinct eigenvalues 28, 35 and 14. Find an orthogonal matrix P and a diagonal matrix D such that PTAP-DUse the square root symbol '' where needed to give an exact value for your answer. 25 9 1 A = 9 22 4 1 4 30 000 000 P=000 D=000 000 000

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The symmetric matrix A below has distinct eigenvalues 28, 35 and 14. Find
an orthogonal matrix P and a diagonal matrix D such that PTAP-DUse the
square root symbol '' where needed to give an exact value for your answer.
25 9 1
A 9 22 4
=
4 30
1
000
000
P=000 D=000
000
000
Transcribed Image Text:The symmetric matrix A below has distinct eigenvalues 28, 35 and 14. Find an orthogonal matrix P and a diagonal matrix D such that PTAP-DUse the square root symbol '' where needed to give an exact value for your answer. 25 9 1 A 9 22 4 = 4 30 1 000 000 P=000 D=000 000 000
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