Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 2 and - 16. - 6 4 A = 4 0 - 4 8 - 4 - 6 ..... Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues
are 2 and - 16.
- 6
4
A =
4
0 - 4
8
- 4 - 6
.....
Enter the matrices P and D below.
(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 2 and - 16. - 6 4 A = 4 0 - 4 8 - 4 - 6 ..... Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
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