- 17 has the form A= PCP -b a Find an invertible matrix P and a matrix C of the form b such that A = -1 . The eigenvalues of A are 5- i and 5+ i. The - 4 - i -4+ i corresponding eigenvectors are v1 = and v2 = 1 respectively. 1 ..... 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 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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Question
1
such that A =
1
- 17
has the form A = PCP'. The eigenvalues of A are 5 - i and 5+ i. The
9.
- b
a
Find an invertible matrix P and a matrix C of the form
b
a
-4 - i
- 4 + i
corresponding eigenvectors are v1 =
and v2
respectively.
%3D
1
.....
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
b
- 1
and no invertible matrix P such that A= PCP¯'.
a
Transcribed Image Text:1 such that A = 1 - 17 has the form A = PCP'. The eigenvalues of A are 5 - i and 5+ i. The 9. - b a Find an invertible matrix P and a matrix C of the form b a -4 - i - 4 + i corresponding eigenvectors are v1 = and v2 respectively. %3D 1 ..... 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 b - 1 and no invertible matrix P such that A= PCP¯'. a
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