3. Let A: 3 3 -1 1 -2 2 V₁ = 1 V₂ V3 = V₁ and use the facts Av₁ =V₁ A√₂ = √₂ AV3 = V3 V4 € Nul(A) to answer the following questions. You di houe
3. Let A: 3 3 -1 1 -2 2 V₁ = 1 V₂ V3 = V₁ and use the facts Av₁ =V₁ A√₂ = √₂ AV3 = V3 V4 € Nul(A) to answer the following questions. You di houe
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
3. Let
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.
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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