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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 12CM

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Question

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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