n 20:07 →→ く Voi) OT LTE1 Vol) 4G+ LTE2 ↓↑ 72% Q Dennis-G.-Zill-Adva... dd-numbered problems begin on page ANS-17. In Problems 7-22, find the eigenvalues and eigenvectors of the given matrix. Using Theorem 8.8.2 or (6), state whether the matrix is singular or nonsingular. 7. 9. 2 (1) -7 -8 8 -) (718 - 1) 16 1 2 (3) 2 8. 2 69 1 10. 11. 12. -5 1 (9) 4 8 7 13. 14. 0 -5, 69 13 '5 -1 0 3 0 0 15. 0 -5 9 16. 0 2 0 5 −1 0 4 0 0 4 0 1 6 0 17. 1 -4 0 18. 0 2 1 0 0 -2 0 1 2. 0 0 2 - 1 0 19. 1 0 20. 5 24 1 1 -1 0 1 2 1 2 3 0 0 0 21. 0 5 6 22. 0 0 0 00 -7 0 0 1 In Problems 23-26, find the eigenvalues and eigenvectors of the given nonsingular matrix A. Then without finding A-', find its eigenvalues and corresponding eigenvectors. 5 1 4 23. A = 24. A = 1 5. 7 -(+) 2 -1 8.8 The Eigenvalue Problem 425 446/1047 Computer Lab Assignment 32. Ann Xn matrix A is said to be a stochastic matrix if all its ||| О *

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Question
n
20:07 →→
く
Voi)
OT LTE1
Vol) 4G+
LTE2 ↓↑
72%
Q
Dennis-G.-Zill-Adva...
dd-numbered problems begin on page ANS-17.
In Problems 7-22, find the eigenvalues and eigenvectors of
the given matrix. Using Theorem 8.8.2 or (6), state whether
the matrix is singular or nonsingular.
7.
9.
2
(1)
-7
-8
8
-)
(718 - 1)
16
1 2
(3)
2
8.
2
69
1
10.
11.
12.
-5 1
(9)
4
8
7
13.
14.
0
-5,
69
13
'5
-1 0
3 0
0
15.
0
-5 9
16.
0
2
0
5
−1 0
4
0
0
4
0
1
6
0
17.
1
-4
0
18.
0
2
1
0
0
-2
0
1
2.
0 0
2
-
1
0
19.
1 0
20.
5
24
1 1
-1
0
1
2
1
2
3
0
0
0
21.
0
5
6
22.
0
0
0
00 -7
0
0
1
In Problems 23-26, find the eigenvalues and eigenvectors of the
given nonsingular matrix A. Then without finding A-', find its
eigenvalues and corresponding eigenvectors.
5 1
4
23. A =
24. A =
1
5.
7
-(+)
2
-1
8.8 The Eigenvalue Problem 425
446/1047
Computer Lab Assignment
32. Ann Xn matrix A is said to be a stochastic matrix if all its
|||
О
*
Transcribed Image Text:n 20:07 →→ く Voi) OT LTE1 Vol) 4G+ LTE2 ↓↑ 72% Q Dennis-G.-Zill-Adva... dd-numbered problems begin on page ANS-17. In Problems 7-22, find the eigenvalues and eigenvectors of the given matrix. Using Theorem 8.8.2 or (6), state whether the matrix is singular or nonsingular. 7. 9. 2 (1) -7 -8 8 -) (718 - 1) 16 1 2 (3) 2 8. 2 69 1 10. 11. 12. -5 1 (9) 4 8 7 13. 14. 0 -5, 69 13 '5 -1 0 3 0 0 15. 0 -5 9 16. 0 2 0 5 −1 0 4 0 0 4 0 1 6 0 17. 1 -4 0 18. 0 2 1 0 0 -2 0 1 2. 0 0 2 - 1 0 19. 1 0 20. 5 24 1 1 -1 0 1 2 1 2 3 0 0 0 21. 0 5 6 22. 0 0 0 00 -7 0 0 1 In Problems 23-26, find the eigenvalues and eigenvectors of the given nonsingular matrix A. Then without finding A-', find its eigenvalues and corresponding eigenvectors. 5 1 4 23. A = 24. A = 1 5. 7 -(+) 2 -1 8.8 The Eigenvalue Problem 425 446/1047 Computer Lab Assignment 32. Ann Xn matrix A is said to be a stochastic matrix if all its ||| О *
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