(i) a rotation by an angle of π/4 clockwise, (ii) an orthogonal projection onto the vector u = (1, 1), and (iii) a compression in the x-direction by a factor of 2. Compute the standard matrix of this operator.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 47E
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E
Define a linear operator (transformation) on R2 by performing the following operations in order:
(i) a rotation by an angle of л/4 clockwise,
(ii) an orthogonal projection onto the vector u = (1, 1), and
FAMO
(iii) a compression in the x-direction by a factor of 2.
4
Compute the standard matrix of this operator.
Transcribed Image Text:E Define a linear operator (transformation) on R2 by performing the following operations in order: (i) a rotation by an angle of л/4 clockwise, (ii) an orthogonal projection onto the vector u = (1, 1), and FAMO (iii) a compression in the x-direction by a factor of 2. 4 Compute the standard matrix of this operator.
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