Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 6 and 0. A= 6 0 30-3 0 06 0-30 3 00 0 30 Enter the matrices P and D below (Use a comme to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 26E
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Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 6 and 0.
6
0
0 06
0 -3 0 3
00 0
30-3
Enter the matrices P and D below
(Use a comme 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 6 and 0. 6 0 0 06 0 -3 0 3 00 0 30-3 Enter the matrices P and D below (Use a comme to separate answers as needed Type exact answers, using radicals as needed. Do not label the matrices.)
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