Linear Transformation and Bases In Exercises25-28, let T: R →R° be a linear transformation suchthat T(1,0, 0) = (2, 4, – 1), T(0, 1, 0) = (1, 3, – 2), andT(0, 0, 1) = (0, –2, 2). Find the specified image.27. T(2, -4, 1)

Given T: R3 -> R3 such that T(1, 0, 0) = (2, 4, -1), T(0, 1, 0) = (1, 3, -2) and T(0, 0, 1) =…

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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 26E

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Linear Transformation and Bases In Exercises 25-28, let T: R³→R be a linear transformation such that T(1,0, 0) %3D(2, 4, — 1), т(0, 1, 0) %3 (1, 3, — 2), and T(0, 0, 1) = (0, –2, 2). Find the specified image. 27. Т(2, — 4, 1)