Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for which T(v₁)=(1,-1, 2), T(v₂) = (0, 3, 2), T(v3) = (-3, 1, 2) Find T(5v₁-6v2 +7V3). ! i ! T(5v1-6v2+7V3) = (

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for which
T(v₁)= (1,-1,2), T(v₂) = (0, 3, 2), T(v3) = (-3, 1, 2)
Find T(5v₁-6v2 +7V3).
!
i
U
T(5v1-6v2+7V3) = (
)
Transcribed Image Text:Let V₁, V2, and v3 be vectors in a vector space V, and let T:V→ R³ be a linear transformation for which T(v₁)= (1,-1,2), T(v₂) = (0, 3, 2), T(v3) = (-3, 1, 2) Find T(5v₁-6v2 +7V3). ! i U T(5v1-6v2+7V3) = ( )
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