1 -8 -8 Let A = - 8 1 -8 and v = 1 Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. -8 -8 1 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.)

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
Problem 10EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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1 -8 - 8
Let A =
- 8
1 -8 and v = 1
Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A.
-8 - 8
1
1
The number 9 is an eigenvalue of A with eigenvector
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:1 -8 - 8 Let A = - 8 1 -8 and v = 1 Verify that 9 is an eigenvalue of A and v is an eigenvector. Then orthogonally diagonalize A. -8 - 8 1 1 The number 9 is an eigenvalue of A with eigenvector (Type an exact answer, using radicals as needed.)
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