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) = (
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) = (
)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fb2e9f6-cc70-49db-a511-c286b3c5a691%2Fb04f475d-1fe2-4f82-9f54-594158003426%2Fgkr2aec_processed.jpeg&w=3840&q=75)
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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