Find the characteristic polynomial and the eigenvalues of the matrix. [:] - 3 - 1 ... The characteristic polynomial is (Type an expression using 1 as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) B. The matrix has no real eigenvalues.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the characteristic polynomial and the eigenvalues of the matrix.
[:]
- 3
6
- 1
...
The characteristic polynomial is
(Type an expression using A as the variable. Type an exact answer, using radicals as needed.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The real eigenvalue(s) of the matrix is/are
(Type an exact answer, using radicals as needed. Use a comma to separate answers
as needed. Type each answer only once.)
B. The matrix has no real eigenvalues.
Transcribed Image Text:Find the characteristic polynomial and the eigenvalues of the matrix. [:] - 3 6 - 1 ... The characteristic polynomial is (Type an expression using A as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) B. The matrix has no real eigenvalues.
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