a - b b a 1 has the form A = PCP-1. The eigenvalues of A are 6 + i and 6 - i with corresponding eigenvectors 1+ 4i 1 - 4i -i i Find an invertible matrix P and a matrix C of the form and A. The matrices P and C are (Use a comma to separate answers as needed.) B. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There is no matrix C of the form a -b b such that the matrix A = a 2 - 17 10 and no invertible matrix P such that A = PCP-1.
a - b b a 1 has the form A = PCP-1. The eigenvalues of A are 6 + i and 6 - i with corresponding eigenvectors 1+ 4i 1 - 4i -i i Find an invertible matrix P and a matrix C of the form and A. The matrices P and C are (Use a comma to separate answers as needed.) B. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There is no matrix C of the form a -b b such that the matrix A = a 2 - 17 10 and no invertible matrix P such that A = PCP-1.
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:a - b
b a
has the form A = PCP¯1. The eigenvalues of A are 6 + i and 6 – i with corresponding eigenvectors
-
1+ 4i
1 - 4i
- i
i
Find an invertible matrix P and a matrix C of the form
and
A. The matrices P and C are
(Use a comma to separate answers as needed.)
B.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
2
17
-13--10
There is no matrix C of the form
a - b
ba
such that the matrix A =
and no invertible matrix P such that A = PCP¯ 1.
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