- b 1 such that A = 1 - 5 has the form A= PCP1. The eigenvalues of A are 3- i a Find an invertible matrix P and a matrix C of the form b a -2- 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.) О в. a There is no matrix C of the form b - b and no invertible matrix P such that A = PCP-1. a
- b 1 such that A = 1 - 5 has the form A= PCP1. The eigenvalues of A are 3- i a Find an invertible matrix P and a matrix C of the form b a -2- 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.) О в. a There is no matrix C of the form b - b and no invertible matrix P such that A = PCP-1. a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1
such that A =
- b
a
Find an invertible matrix P and a matrix C of the form
has the form A = PCP1. The eigenvalues of A are 3 - i
5
a
- 2- i
and 3+ i. The corresponding eigenvectors are
and v2
, respectively.
Select the correct choice below and, if necessary, fil 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.
- 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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