(c) Let J be the linear transformation from R² → R² which is a reflection in the horizontal axis followed by a scaling by the factor 2. (i) If the matrix of J is [ · [" ²] · what are y and z? y= (ii) Compute the pre-image of the point (4, 4) under J. J-¹(4,4)=

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 43E: Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases...
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4 c

(c) Let J be the linear transformation from R² → R² which is a reflection in the horizontal axis followed by a scaling by the factor 2.
(i) If the matrix of J is
W
Y
2] what are y and z?
y =
(ii) Compute the pre-image of the point (4,4) under J.
J-¹(4,4)=
[[
N
Transcribed Image Text:(c) Let J be the linear transformation from R² → R² which is a reflection in the horizontal axis followed by a scaling by the factor 2. (i) If the matrix of J is W Y 2] what are y and z? y = (ii) Compute the pre-image of the point (4,4) under J. J-¹(4,4)= [[ N
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