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Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and let T:R³ R³ be the linear operator for which T(v₁)-(3,-1, 6), T(v₂) - (4, 0, 1), T(v3) – (-1,7,1) Find a formula for T(x1, X2, X3), and use that formula to find T(3, 6, -1). i T(3, 6,-1)-(

Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and let T:R³ R³ be the linear operator for which T(v₁)-(3,-1, 6), T(v₂) - (4, 0, 1), T(v3) – (-1,7,1) Find a formula for T(x1, X2, X3), and use that formula to find T(3, 6, -1). i T(3, 6,-1)-(

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and let T:R³ R³ be the linear operator for which T(v₁)-(3,-1, 6), T(v₂) - (4, 0, 1), T(v3) – (-1,7,1) Find a formula for T(x1, X2, X3), and use that formula to find T(3, 6, -1). i T(3, 6,-1)-(
Transcribed Image Text:Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and let T:R³ R³ be the linear operator for which T(v₁)-(3,-1, 6), T(v₂) - (4, 0, 1), T(v3) – (-1,7,1) Find a formula for T(x1, X2, X3), and use that formula to find T(3, 6, -1). i T(3, 6,-1)-(
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