In Exercises 7-12, find the characteristic equation, the eigen- values, and bases for the eigenspaces of the matrix. 4 0 1 0 -2 7. -2 1 8. -2 01 -2 4 0 1 10. 1 0 1 1 0 6. 3 -8 9. 0 -2 1 0 -3 [4 0 -1 1 -3 3 11. 0 3 0 12. 3 3 6 -6 4 1000 1.
In Exercises 7-12, find the characteristic equation, the eigen- values, and bases for the eigenspaces of the matrix. 4 0 1 0 -2 7. -2 1 8. -2 01 -2 4 0 1 10. 1 0 1 1 0 6. 3 -8 9. 0 -2 1 0 -3 [4 0 -1 1 -3 3 11. 0 3 0 12. 3 3 6 -6 4 1000 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
#11 please thank you, Linear Alg
![2]
(c)
(d)
In Exercises 7-12, find the characteristic equation, the eigen-
values, and bases for the eigenspaces of the matrix.
4
0.
1
-2
7.
-2
1
8.
-2
0 1 1
10. 1 0 1
1 0
3
-8
9. 0 -2 0
0 -3
0 -1
1
-3
11. 0
3
12. 3
-5
3
0 2
-6
4
In Exercises 13-14, find the characteristic equation of the
matrix by inspection.
-8
6.
3 0 0
13.-2 7 0
-1
14.
3
4 8 1
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Transcribed Image Text:2]
(c)
(d)
In Exercises 7-12, find the characteristic equation, the eigen-
values, and bases for the eigenspaces of the matrix.
4
0.
1
-2
7.
-2
1
8.
-2
0 1 1
10. 1 0 1
1 0
3
-8
9. 0 -2 0
0 -3
0 -1
1
-3
11. 0
3
12. 3
-5
3
0 2
-6
4
In Exercises 13-14, find the characteristic equation of the
matrix by inspection.
-8
6.
3 0 0
13.-2 7 0
-1
14.
3
4 8 1
6.
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