 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ia/paper-1/6b/a/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

MRM = (cos θ - sin θ sin θ cos θ) = R^{- 1} .

Hence

MRM = R^{a} with a = - 1 .

This is the defining conjugation relation between a rotation and reflection in a dihedral group.

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