2. Give the matrices of the following plane transformations: a)The rotation around the origin of the angle - followed by a reflection on the right y=x b) The horizontal transvection which transforms the vector ez into -3e, + ez followed by a reflection by relative to the y axis. It is recalled that e: and ez are the vectors of the canonical basis of the plane.
2. Give the matrices of the following plane transformations: a)The rotation around the origin of the angle - followed by a reflection on the right y=x b) The horizontal transvection which transforms the vector ez into -3e, + ez followed by a reflection by relative to the y axis. It is recalled that e: and ez are the vectors of the canonical basis of the plane.
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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Transcribed Image Text:2. Give the matrices of the following plane transformations:
a)The rotation around the origin of the angle followed by a reflection on the right y=x
b) The horizontal transvection which transforms the vector ez into -3e, + ez followed by a reflection by
relative to the y axis. It is recalled that e, and e, are the vectors of the canonical basis of the plane.
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