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A a 5x5 real matrix & v₁,..., v5 linearly independent real vectors in 5 dimensional space: Av₁ = 4v₁ Av₂ = 4v₂ Av3 = -13v3 A(v₁ +vi)=(5-7i) (v₁ +v₂i)

A a 5x5 real matrix & v₁,..., v5 linearly independent real vectors in 5 dimensional space: Av₁ = 4v₁ Av₂ = 4v₂ Av3 = -13v3 A(v₁ +vi)=(5-7i) (v₁ +v₂i)

Advanced Engineering Mathematics
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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Also find the geometric description more specifically the rotation and stretch for the spans!

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: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
A/span {V₁₁ 1₂} = Stretch: Rotation;
Transcribed Image Text:A/span {V₁₁ 1₂} = Stretch: Rotation;
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