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(3v₁ - 4v2 + 5V3). THU Mo Mi

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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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(3v₁ - 4v2 +5V3).
T(3v1-4v2 +5V3) = (
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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(3v₁ - 4v2 +5V3). T(3v1-4v2 +5V3) = ( eTextbook and Media Save for Later i i i Attempts: 0 of 3 used Submit Answer
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