Linear Transformation and Bases In Exercises 29, 30, 31, and 32, let T: R³ → R³ be a lineartransformation such that T (1, 1, 1) = (2, 0, −1), T (0, −1, 2) = (−3, 2, −1), and T (1, 0, 1) = (1, 1, 0). Findthe specified image.29. T (4,2,0)Answer

We have: T1,1,1=2,0,-1T0,-1,2=-3,2,-1T1,0,1=1,1,0 Now, let 4,2,0=a1,1,1+b0,-1,2+c1,0,1 for constants…

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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 29, 30, 31, and 32, let T: R³ → R³ be a linear transformation such that T (1, 1, 1) = (2, 0, −1), T (0, −1, 2) = (-3, 2, −1), and T (1, 0, 1) = (1, 1, 0). Find the specified image. 29. T (4,2,0) Answer +