Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 10 and -9. A = 1 -3 9 -3 93 9 3 1 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.)
Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 10 and -9. A = 1 -3 9 -3 93 9 3 1 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.)
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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Question
![Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the
eigenvalues are 10 and -9.
A =
1 -3 9
-3 93
9
3 1
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb73e221-fc24-4f22-8ff5-c1a81fef495f%2Fea0796d2-636b-4d71-a8f2-d823569b9105%2Fsh9yd8_processed.png&w=3840&q=75)
Transcribed Image Text:Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the
eigenvalues are 10 and -9.
A =
1 -3 9
-3 93
9
3 1
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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