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.
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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