b such that the matrix A= 5 - 37 a Find an invertible matrix P and a matrix C of the form has the form A = PCP1. The eigenvalues o 3 a 1 6 + i 6. A are 4 + 6 i and 4- 6 i with corresponding eigenvectors i and Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrices P and C are (Use a comma to separate answers as needed.) В. a - b There is no matrix C of the form and no invertible matrix P such that A = PCP1 a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find an invertible matrix P and a matrix C of the form (see pic), such that the matrix A = (see pic) has the form A = PCP-1. The eigenvalues of A are 4+6i and 4−6i with corresponding eigenvectors (see pic)

- 37
has the form A = PCP1. The eigenvalues of
- b
a
Find an invertible matrix P and a matrix C of the form
b
such that the matrix A =
a
3
6- i
6+ i
A are 4 +6i and 4-6 i with corresponding eigenvectors
and
- i
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The matrices P and C are
(Use a comma to separate answers as needed.)
О в.
- b
a
There is no matrix C of the form
and no invertible matrix P such that A = PCP-1.
a
Transcribed Image Text:- 37 has the form A = PCP1. The eigenvalues of - b a Find an invertible matrix P and a matrix C of the form b such that the matrix A = a 3 6- i 6+ i A are 4 +6i and 4-6 i with corresponding eigenvectors and - i Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrices P and C are (Use a comma to separate answers as needed.) О в. - b a There is no matrix C of the form and no invertible matrix P such that A = PCP-1. a
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