Let T be the linear transformation from R³ to R³ that rotates every vector around the y-axis by radians, counterclockwise as viewed from the point (0, 5,0), and afterwards multiplies its length by 4. (a) Find the matrix of transformation T. (b) Calculate T((1, 2, 3)).

Let T be the linear transformation from R³ to R³ that rotates every vector around the y-axis by radians, counterclockwise as viewed from the point (0, 5,0), and afterwards multiplies its length by 4. (a) Find the matrix of transformation T. (b) Calculate T((1, 2, 3)).

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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Question

10. Let T be the linear transformation from R3 to R$ that rotates every vector around the
y-axis by radians, counterclockwise as viewed from the point (0,5, 0), and afterwards
multiplies its length by 4.
(a) Find the matrix of transformation T.
(b) Calculate T((1, 2, 3)).

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