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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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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
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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