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,-4) and T(v₂) - (-8, 1) Find a formula for T(x1, x₂), and use that formula to find T(9,- 5). i T(9,-5) - (

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,-4) and T(v₂) - (-8, 1)
Find a formula for T(x1, x₂), and use that formula to find T(9,- 5).
i
T(9,-5) - (
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,-4) and T(v₂) - (-8, 1) Find a formula for T(x1, x₂), and use that formula to find T(9,- 5). i T(9,-5) - (
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