Define a linear operator (transformation) on R2 by performing the following operations in order: (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.

Define a linear operator (transformation) on R2 by performing the following operations in order: (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

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 11CM

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