How to do c)? 57counter-clockwise around the origin, and S : R2 → R² be6Let R: R2 → R² be rotation byreflection across the line y = -2x. Consider the transformation given by T = S o Ro S.(a) Find the matrix for T.(b) Sketch a visualization of T, showing the unit square on one set of axes and its imageunder the transformation T on a separate set of axes.(c) Find the area of the parallelogram spanned by T(e1),T(e2).

Consider the equation: Here, R :R2 →R2 be rotation by 5π6 counter-clock around the origin, And S :R2…

Answered: Let R: R² → R² be rotation by…

Let R: R² → R² be rotation by reflection across the line y = -2x. Consider the transformation given by T = S o Ro S. counter-clockwise around the origin, and S : R² → R² be 6

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 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...

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Question

How to do c)?

57
counter-clockwise around the origin, and S : R2 → R² be
6
Let R: R2 → R² be rotation by
reflection across the line y = -2x. Consider the transformation given by T = S o Ro S.
(a) Find the matrix for T.
(b) Sketch a visualization of T, showing the unit square on one set of axes and its image
under the transformation T on a separate set of axes.
(c) Find the area of the parallelogram spanned by T(e1),T(e2).

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