Question6 :Let T : R? H R´ be defined byX -yT2x=х+у.and S : R- H R² be a counterclockwise rotation through an angle of 0 = 2a/3.Find the matrix of T and the matrix of the composite transformation T • S.

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Answered: Let T : R2 H R³ be defined by х — у T…

Elementary Linear Algebra (MindTap Course List)

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Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

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Problem 12CM

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Let T : R2 H R³ be defined by х — у T 2х [x + y. and S : R2 + R² be a counterclockwise rotation through an angle of 0 = 2x/3. Find the matrix of T and the matrix of the composite transformation T • S.