Are the two linear transformations the same? Yes S: R² R2, shear such that √3 4 B 2 maps to OB 1 4 1 √3 and then scale vertically by a factor of followed by shear such that • T: R² → R², rotate counterclockwise 150° about the origin, scale horizontally by a factor of √3 2 [] 2 733 √√√3 maps to

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 29E
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Are the two linear transformations the same? Yes
S : R² → R², shear such that
●
1
"
maps to
1
H
√√3
followed by shear such that
and then scale vertically by a factor of
H
√√3
1
• T : R² → R², rotate counterclockwise 150° about the origin, scale horizontally by a factor of
√3
2
2
√3
maps to
Transcribed Image Text:Are the two linear transformations the same? Yes S : R² → R², shear such that ● 1 " maps to 1 H √√3 followed by shear such that and then scale vertically by a factor of H √√3 1 • T : R² → R², rotate counterclockwise 150° about the origin, scale horizontally by a factor of √3 2 2 √3 maps to
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