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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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