3 3 Given the equation for Linear Transformation: R -R w1 = x- 2y + 2z w2 = 2x + y+ z w3 = x +y a) Determine if the Linear Transformation is one-to-one -1 b) Determine T (w1, 2, w3) if (x.y.z) = (1,2,1)

3 3 Given the equation for Linear Transformation: R -R w1 = x- 2y + 2z w2 = 2x + y+ z w3 = x +y a) Determine if the Linear Transformation is one-to-one -1 b) Determine T (w1, 2, w3) if (x.y.z) = (1,2,1)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 17CM

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Question

3 3
Given the equation for Linear Transformation: R →R
wl = x- 2y + 2z
w2 = 2x + y+ z
w3 = x + y
a) Determine if the Linear Transformation is one-to-one
-1
b) Determine T (wl, 2, w3) if (x,.y.z) = (1,2,1)

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