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Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are 13 and 4.

Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are 13 and 4.

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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Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are 13 and 4. This is my answer but it says its wrong which I don't understand why.

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 13 and 4. 9 - 2 4 A = - 2 12 2 4 2 9 Enter the matrices P and D below. 1 13 0 0 1 13 0 V5 3 0 4 1 (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
Transcribed Image Text:Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 13 and 4. 9 - 2 4 A = - 2 12 2 4 2 9 Enter the matrices P and D below. 1 13 0 0 1 13 0 V5 3 0 4 1 (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
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