In Exercises 12–17, find the eigenvalues and the eigen- vectors for the given matrix. Is the matrix defective? 12. 1 1 -1 13. Г 2 1 2 0 2 -1 0 3 2 Lo 0 1 0 0 2 14. Г 1 2 1 15. Г 2 0 3 0 1 2 0 2 1 0 0 1 0 0 1

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Chapter2: Second-order Linear Odes
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In Exercises 12-17, find the eigenvalues and the eigen-
vectors for the given matrix. Is the matrix defective?
12. Г 1
1
13.
2 1 2
-
0 2
-1
0 3 2
0 0 1
|0 0 2
14.
1 2 1
15.
2 0 3
0 1 2
0 2 1
0 0 1
0 0 1
Transcribed Image Text:In Exercises 12-17, find the eigenvalues and the eigen- vectors for the given matrix. Is the matrix defective? 12. Г 1 1 13. 2 1 2 - 0 2 -1 0 3 2 0 0 1 |0 0 2 14. 1 2 1 15. 2 0 3 0 1 2 0 2 1 0 0 1 0 0 1
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