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Let T: R? - R2 be the transformation that performs a reflection through the y-axis, a translation by a vector b = and a rotation by 45°. Apply the transformation to the square with vertices (0,0), (1,0), (1,1), and (0,1). Give the sketch of the initial and the final square.

Let T: R? - R2 be the transformation that performs a reflection through the y-axis, a translation by a vector b = and a rotation by 45°. Apply the transformation to the square with vertices (0,0), (1,0), (1,1), and (0,1). Give the sketch of the initial and the final square.

Advanced Engineering Mathematics
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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Let T: R? → R? be the transformation that performs a reflection through the y-axis, a translation by a vector b = and a rotation by 45°. Apply the transformation to the square with vertices (0,0), (1,0), (1,1), and (0,1). Give the sketch of the initial and the final square.
Transcribed Image Text:Let T: R? → R? be the transformation that performs a reflection through the y-axis, a translation by a vector b = and a rotation by 45°. Apply the transformation to the square with vertices (0,0), (1,0), (1,1), and (0,1). Give the sketch of the initial and the final square.
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