In Exercises 7-12, show that A is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. 2 7. A = 2 A = 3 2 3 A = -1 3 2 8. A = 0 4 9. A = ,a = 1 [- 4 10. A = -2 ,A = -6 1 0 2 11. A = -1 1 1,A= -1 20 1] 11. А %3D 3 1 -1 12. A =|1 1 [ 4 2 1,A = 2
In Exercises 7-12, show that A is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. 2 7. A = 2 A = 3 2 3 A = -1 3 2 8. A = 0 4 9. A = ,a = 1 [- 4 10. A = -2 ,A = -6 1 0 2 11. A = -1 1 1,A= -1 20 1] 11. А %3D 3 1 -1 12. A =|1 1 [ 4 2 1,A = 2
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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Transcribed Image Text:In Exercises 7-12, show that A is an eigenvalue of A and
find one eigenvector corresponding to this eigenvalue.
2
7. A = A =3
2
2 3
8. A =
-1
3 2
0 4
9. A =
A = 1
-1 5
4
10. A =
-2
-6
1 0 2
11. A = -1 1 1,A =
2 0 1
-1
3 1
12. A =| 1 1
1,A = 2
4 2
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