(c) Use the diagonalization from part (a) to find the eigenvalues of 4 1 1 2° 15 11 1 15 1 2 1 1 4 B=
(c) Use the diagonalization from part (a) to find the eigenvalues of 4 1 1 2° 15 11 1 15 1 2 1 1 4 B=
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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Please answer part c! Thanks!
![Let
3 0 0 1
1
0 4 0
-1
A =
0 0 4 0
1 0 0 3
2
(a) Find a matrix X and a diagonal matrix A such that A = XAX-1.
Aku
(b) Use the diagonalization from part (a) to compute A10 and lim
(c) Use the diagonalization from part (a) to find the eigenvalues of
4 1 1 2]
15 1
1
B =
1 1 5
2 1 1 4
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe538b378-2d88-49a4-ad38-69d73f81fb02%2Feadbf0d6-daf2-40c8-86a7-1e392371fa2e%2Ffcx2yz_processed.png&w=3840&q=75)
Transcribed Image Text:Let
3 0 0 1
1
0 4 0
-1
A =
0 0 4 0
1 0 0 3
2
(a) Find a matrix X and a diagonal matrix A such that A = XAX-1.
Aku
(b) Use the diagonalization from part (a) to compute A10 and lim
(c) Use the diagonalization from part (a) to find the eigenvalues of
4 1 1 2]
15 1
1
B =
1 1 5
2 1 1 4
1
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