The linent transformation Ro : R² → R², de fined byrotation of the plane by an angle of Odegrees.Re(x, y) = (, cos 0 – i sin 0, x sin 0 + y cos) is ais any angle strictly betweenSuppose That 00° and 1809The matrix of Ro is diagonalizable? justify

Answered: Image /qna-images/answer/09f452e9-0697-4633-8ab8-d413f027903d.jpg

Answered: The linent transformation Ro : R² → R²,…

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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The linent transformation Ro : R² → R², de fined by rotation of the plane by an angle of Odegrees. Re(x, y) = (, cos 0 – i sin 0, x sin 0 + y cos) is a is any angle strictly between Suppose That 0 0° and 1809 The matrix of Ro is diagonalizable ? justify