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Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the linear operator for which T(v₁)= (1,5) and T(v₂) = (-10, 1) Find a formula for T(x1, x2), and use that formula to find T(11,-6). T(11,- 6) = ( i )

Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the linear operator for which T(v₁)= (1,5) and T(v₂) = (-10, 1) Find a formula for T(x1, x2), and use that formula to find T(11,-6). T(11,- 6) = ( i )

Elementary Linear Algebra (MindTap Course List)
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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the linear operator for which T(v₁)= (1,5) and T(v₂) = (-10, 1) Find a formula for T(x1, x2), and use that formula to find T(11,-6). T(11,- 6) = ( i )
Transcribed Image Text:Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the linear operator for which T(v₁)= (1,5) and T(v₂) = (-10, 1) Find a formula for T(x1, x2), and use that formula to find T(11,-6). T(11,- 6) = ( i )
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