V₁ = Review the vector space R³ and basis B = (v₁, V₂,V3) for R³ with (1, 0, 0), v₂ = (2, 2, 0), and v3 = (3,3,3). Let T: R³ R² A linear transformation such that T(v₁) = (2,−1), T(v₂) = (0, 1), and T(v3) = (5,3). Determine the formula for T(x₁,x₂, x3) and use the formula to determine T(−1, 2, 4).

V₁ = Review the vector space R³ and basis B = (v₁, V₂,V3) for R³ with (1, 0, 0), v₂ = (2, 2, 0), and v3 = (3,3,3). Let T: R³ R² A linear transformation such that T(v₁) = (2,−1), T(v₂) = (0, 1), and T(v3) = (5,3). Determine the formula for T(x₁,x₂, x3) and use the formula to determine T(−1, 2, 4).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...

See similar textbooks