Q. 3. A transformation T: R² →R² first reflects vectors through the y axis, and then rotates vectors by3a. Find the matrix of the transformation T.b. Find the inverse transformation of T , if exists.-1c. Draw the transformation T for x =|2

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Q. 3. A transformation T: R² →R² first reflects vectors through the y axis, and then rotates vectors by a. Find the matrix of the transformation T. b. Find the inverse transformation of T, if exists. -1 c. Draw the transformation T for x = 2

Q. 3. A transformation T: R² →R² first reflects vectors through the y axis, and then rotates vectors by a. Find the matrix of the transformation T. b. Find the inverse transformation of T, if exists. -1 c. Draw the transformation T for x = 2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Q. 3. A transformation T: R² →R² first reflects vectors through the y axis, and then rotates vectors by
3
a. Find the matrix of the transformation T.
b. Find the inverse transformation of T , if exists.
-1
c. Draw the transformation T for x =|
2

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