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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 1 4 30 000 000 P=000 D=000 000 000

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
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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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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