c) [For Susan Foreman of 76 Totter's Lane, Coal Hill School, 1963, WHO Could See This] A a 5x5 real matrix & v₁,..., v, linearly independent real vectors in 5 dimensional space: Av₁ = 4v₁ Av₂ = 4v₂ Av3 = -13v3 A(v₁ +vi)=(5-7i) (v₁ +vi)
c) [For Susan Foreman of 76 Totter's Lane, Coal Hill School, 1963, WHO Could See This] A a 5x5 real matrix & v₁,..., v, linearly independent real vectors in 5 dimensional space: Av₁ = 4v₁ Av₂ = 4v₂ Av3 = -13v3 A(v₁ +vi)=(5-7i) (v₁ +vi)
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
find the stretch and if it rotates 0 or 180 degrees for these specific spans! It can be complex!
![c)
[For Susan Foreman of 76 Totter's Lane, Coal Hill School, 1963, WHO Could See This]
A a 5x5 real matrix & v₁,..., v5 linearly independent real vectors in 5 dimensional space:
Av₁ = 4v₁
Av₂
Av3 = -13v3
A(v₁ +vši)=(5−7i)(v₁ +vši)
= 4v₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48b6452a-1da9-4da3-bcb1-0286a0965a2b%2Fe0d03904-d6d9-4e9d-ba45-a7addc35d234%2Flt2lyso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c)
[For Susan Foreman of 76 Totter's Lane, Coal Hill School, 1963, WHO Could See This]
A a 5x5 real matrix & v₁,..., v5 linearly independent real vectors in 5 dimensional space:
Av₁ = 4v₁
Av₂
Av3 = -13v3
A(v₁ +vši)=(5−7i)(v₁ +vši)
= 4v₂
Transcribed Image Text:Al span {V₁, V₂} = Stretch:
Rotationi
A/span {V₁₁ V4} = Stretch:
rotation:
A / Span {√₁}=
5
stretch:
Rotation:
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