In Exercises 1-14, find the characteristic polynomial ar the eigenvalues for the given matrix. Also, give the a gebraic multiplicity of each eigenvalue. [Note: In eac case the eigenvalues are integers.] 1. 1 0 2. 2 1 2 3 0 - 1 3. 2 -1 4. 13 –16 -1 9 –11 5. 1 6. 2 2 - 1 3 3 3 7. -6 –1 2 8. -2 -1 | 3 2 0 0 1 1 -14 -2 5 -2 -2 -1
In Exercises 1-14, find the characteristic polynomial ar the eigenvalues for the given matrix. Also, give the a gebraic multiplicity of each eigenvalue. [Note: In eac case the eigenvalues are integers.] 1. 1 0 2. 2 1 2 3 0 - 1 3. 2 -1 4. 13 –16 -1 9 –11 5. 1 6. 2 2 - 1 3 3 3 7. -6 –1 2 8. -2 -1 | 3 2 0 0 1 1 -14 -2 5 -2 -2 -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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![In Exercises 1-14, find the characteristic polynomial ar
the eigenvalues for the given matrix. Also, give the a
gebraic multiplicity of each eigenvalue. [Note: In eac
case the eigenvalues are integers.]
1.
1 0
2.
2
1
2 3
0 - 1
3.
2 -1
4.
13 –16
-1
2
9 –11
5.
1
6.
2 2
-
1 3
3 3
7.
-6 –1 2
8.
-2 -1
|
3
2 0
0 1 1
-14 -2 5
-2 -2 –1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c91f5a1-7862-4dbe-9446-1847b869b2da%2F9c0b1de9-4d01-4ddb-bdaf-5eb3b09442d2%2F6vv10hj_processed.png&w=3840&q=75)
Transcribed Image Text:In Exercises 1-14, find the characteristic polynomial ar
the eigenvalues for the given matrix. Also, give the a
gebraic multiplicity of each eigenvalue. [Note: In eac
case the eigenvalues are integers.]
1.
1 0
2.
2
1
2 3
0 - 1
3.
2 -1
4.
13 –16
-1
2
9 –11
5.
1
6.
2 2
-
1 3
3 3
7.
-6 –1 2
8.
-2 -1
|
3
2 0
0 1 1
-14 -2 5
-2 -2 –1
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