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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 46E: For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T...
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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
Transcribed Image Text: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
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