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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3. Let
![3. Let
A =
3 -1 1 V₁
-2 2
3
= 2
V₂ = 3 V3
= 6 V4
and use the facts Av₁ = V₁ AV₂ = V₂ AV3 = V3 V4 € Nul(A) to answer the following questions.
You do not have to check the facts.](https://content.bartleby.com/qna-images/question/c3585354-64d7-4f4a-b055-4a9b75b3799d/fb396d16-fbe0-4f4d-a560-c438628c7596/bhhoyj_thumbnail.png)
Transcribed Image Text:3. Let
A =
3 -1 1 V₁
-2 2
3
= 2
V₂ = 3 V3
= 6 V4
and use the facts Av₁ = V₁ AV₂ = V₂ AV3 = V3 V4 € Nul(A) to answer the following questions.
You do not have to check the facts.
![(b) Explain why 1 is an eignvalue for A and explain why it's corresponding eignspace has dimension
2.](https://content.bartleby.com/qna-images/question/c3585354-64d7-4f4a-b055-4a9b75b3799d/fb396d16-fbe0-4f4d-a560-c438628c7596/99fh4qp_thumbnail.png)
Transcribed Image Text:(b) Explain why 1 is an eignvalue for A and explain why it's corresponding eignspace has dimension
2.
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