Find an invertible matrix P anda matrix C of the form such that A= has the form A = PCP-1. The eigenvalues of A are 3- i and 3+ i. The corresponding eigenvectors are v, = , respectively

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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-2-
Find an invertible matrix P and a matrix C of the form
such that
has the form A = PCP-1. The eigenvalues of A are 3- i and 3+ i. The corresponding eigenvectors are v, =
and v2
,respectively.
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.)
OB.
There is no matrix C of the form
and no invertible matrix P such that A = PCP-1.
Transcribed Image Text:-2- Find an invertible matrix P and a matrix C of the form such that has the form A = PCP-1. The eigenvalues of A are 3- i and 3+ i. The corresponding eigenvectors are v, = and v2 ,respectively. 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.) OB. There is no matrix C of the form and no invertible matrix P such that A = PCP-1.
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