Find the standard matrix of the linear transformation T: R² → R² such that Trotates points (about the origin) through л/3 radians counterclockwise. [Hint:T(ei) = (1/2,√√3/2)].

Answered: Find the standard matrix of the linear…

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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Find the standard matrix of the linear transformation T: R² → R² such that T rotates points (about the origin) through л/3 radians counterclockwise. [Hint: T(ei) = (1/2,√√3/2)].