I the characteristic polynomial and the eigenvalues of the matrix. - 9 - 3 6 -6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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34) just tell me the correct one and polynomial
Find the characteristic polynomial and the eigenvalues of the matrix.
-9 - 3
6 - 6
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.)
O B. The matrix has no real eigenvalues.
Transcribed Image Text:Find the characteristic polynomial and the eigenvalues of the matrix. -9 - 3 6 - 6 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.) O B. The matrix has no real eigenvalues.
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