0 Explain why it is true that for any positive integer n, D" 0
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
![0
Explain why it is true that for any positive integer n, D"
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf2e2413-2c8a-44ad-853b-7e91bd809c7c%2Fcd06b7d4-5ea8-4bb9-be75-a25f27666430%2Fgbkbgb4.jpeg&w=3840&q=75)
Transcribed Image Text:0
Explain why it is true that for any positive integer n, D"
0
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given statement is,
![0
For any positive integer n, D
0](https://content.bartleby.com/qna-images/answer/df2e2413-2c8a-44ad-853b-7e91bd809c7c/b57d08c7-cf8b-45bf-a419-0b73906e8331/irjphj.png)
Step 2
Consider a diagonal matrix as,
![0
D =
0 소](https://content.bartleby.com/qna-images/answer/df2e2413-2c8a-44ad-853b-7e91bd809c7c/b57d08c7-cf8b-45bf-a419-0b73906e8331/p6j0xhn.png)
Step 3
Now matrix multiplication D2 is,
![0
D2 Dx D
0 0
0
0](https://content.bartleby.com/qna-images/answer/df2e2413-2c8a-44ad-853b-7e91bd809c7c/b57d08c7-cf8b-45bf-a419-0b73906e8331/emnnk9ji.png)
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