22. P = 1 1 01 00 1 A = 500 03 0 00 1 2 A' = 5 22 0 32 001
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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11. Please answer only Question# 22
![Similar Matrices In Exercises 19-22, use the matrix P
to show that the matrices A and A' are similar.
19. P =
20. P = A = A'
21. P
=
H
22. P =
0
0
2₁A =
500
=
1
0
1 1
1
1
001
4 0, A =
=
03
[1-1¹2]
9
A
=
5
8
0
5
0
0
12 7
11
- 20
-
10 0
4
9
A'
0, A'=
6
00
3 0 A'
01
=
=
=
[43]
5
10
0
5
8 42
0
12 6
2 2
032
00 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabd5e741-0235-409f-80de-883f5f0e5da7%2Fb64c12f3-2607-4023-86d0-b1611d878a4e%2Fkh8u7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Similar Matrices In Exercises 19-22, use the matrix P
to show that the matrices A and A' are similar.
19. P =
20. P = A = A'
21. P
=
H
22. P =
0
0
2₁A =
500
=
1
0
1 1
1
1
001
4 0, A =
=
03
[1-1¹2]
9
A
=
5
8
0
5
0
0
12 7
11
- 20
-
10 0
4
9
A'
0, A'=
6
00
3 0 A'
01
=
=
=
[43]
5
10
0
5
8 42
0
12 6
2 2
032
00 1
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