Are the two linear transformations the same? Yes ● S: R² → R², shear such that H maps to H then vertical scale by a factor of 1 T: R² → R², vertical scale by a factor of then shear such that 7 maps to 7°

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 45E: Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a...
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Are the two linear transformations the same? Yes
[1] maps to [7]
0
1
1
• T: R² → R², vertical scale by a factor of then shear such that
B
7
0
• S: R² → R², shear such that
then vertical scale by a factor of
maps to
7
H
Transcribed Image Text:Are the two linear transformations the same? Yes [1] maps to [7] 0 1 1 • T: R² → R², vertical scale by a factor of then shear such that B 7 0 • S: R² → R², shear such that then vertical scale by a factor of maps to 7 H
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