Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 15 and - 3. 58 4 85 4 44 - 1 Enter the matrices P and D below. - 3 0 0 0-3 0 0 0 15 (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
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Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 15 and - 3.
58 4
85 4
44 -1
Enter the matrices P and D below.
3 0 0
0 -3 0
0 0 15
(Use a comma to separate matrices 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 15 and - 3. 58 4 85 4 44 -1 Enter the matrices P and D below. 3 0 0 0 -3 0 0 0 15 (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)
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