Exercise 4.14 Find non singular matrices P and Q such that PAQ is normal form [1 2 3] 1. Ar [31 2] 27 1 2 3 Ans 0 -1 -1 2.
Exercise 4.14 Find non singular matrices P and Q such that PAQ is normal form [1 2 3] 1. Ar [31 2] 27 1 2 3 Ans 0 -1 -1 2.
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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Note: Solve Q2
![Exercise 4.14
Find non singular matrices P and Q such that PAQ is normal form
1 23]
-7
Q =0
5 5
1.
Ans. p=
[31 2]
0 0 1
[1 1
2
100
1 -1 -1
2.
1
3
Ans. P
|-1 10
Q =0 1 -1
0 -1 -1
4
1
3 15 21
[1
2 3 -2
1
2 -2 1
3.
1 00
Ans. P =-2 10
3
6.
Q =
3 0 4
[-1 -
7.
in
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5662bb07-0b56-423f-9e22-bc4bc4ea6b1e%2Ff7241239-7259-4d75-915b-5ccf4bd6e97c%2Fp1bs14q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 4.14
Find non singular matrices P and Q such that PAQ is normal form
1 23]
-7
Q =0
5 5
1.
Ans. p=
[31 2]
0 0 1
[1 1
2
100
1 -1 -1
2.
1
3
Ans. P
|-1 10
Q =0 1 -1
0 -1 -1
4
1
3 15 21
[1
2 3 -2
1
2 -2 1
3.
1 00
Ans. P =-2 10
3
6.
Q =
3 0 4
[-1 -
7.
in
2.
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