A linear transformation T: R² R2 first reflects points through the r-axis and then reflects the point through the line y = r. First, find the matrix of the transformation T. Second, show that this transformation is in fact rotation about the origin and find the angle of the rotation. -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b)
A linear transformation T: R2-
R² first reflects points through the r-axis and then
reflects the point through the line y = x. First, find the matrix of the transformation T. Second,
show that this transformation is in fact rotation about the origin and find the angle of the rotation.
-
Transcribed Image Text:(b) A linear transformation T: R2- R² first reflects points through the r-axis and then reflects the point through the line y = x. First, find the matrix of the transformation T. Second, show that this transformation is in fact rotation about the origin and find the angle of the rotation. -
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