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Consider rotations Rθ and Rα in R^2 . (a) From geometrical considerations, we know that Rα◦Rθ...

Consider rotations Rθ and Rα in R^2 . (a) From geometrical considerations, we know that Rα◦Rθ =Rα+θ. Verify the corresponding matrix equation. (b) Prove that [R−θ] T =[Rθ]

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