Let T: R° - R° be a linear transformation such that T(1, 0, 0) = (-1, 2, 4), T(0, 1, 0) = (3, 1, -2), and T(0, 0, 1) = (2, 0, -2). Find the indicated image. T(0, 1, -3) Tо, 1, -3) %3D (-7, – 3,4)

Let T: R° - R° be a linear transformation such that T(1, 0, 0) = (-1, 2, 4), T(0, 1, 0) = (3, 1, -2), and T(0, 0, 1) = (2, 0, -2). Find the indicated image. T(0, 1, -3) Tо, 1, -3) %3D (-7, – 3,4)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Question

Let T: R° - R° be a linear transformation such that T(1, 0, 0) = (-1, 2, 4), T(0, 1, 0) = (3, 1, -2), and T(0, 0, 1) = (2, 0, -2). Find the indicated image.
T(0, 1, -3)
Tо, 1, -3) %3D
(-7, – 3,4)

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