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 = (-5)v₁ Av₂ = (7)v₂ Av3 = (7)v3 A(v₁ +vi)=(3+2i) (v₁ +vsi)

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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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 = (-5)v₁
Av₂ = (7)v₂
Av3 = (7)v3
A(v₁ +vsi)=(3+2i) (v₁ +vzi)
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,..., V, linearly independent real vectors in 5 dimensional space: Av₁ = (-5)v₁ Av₂ = (7)v₂ Av3 = (7)v3 A(v₁ +vsi)=(3+2i) (v₁ +vzi)
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