 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-2/16/a/i/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

A (x, y, z)^{T} = (y, z, x)^{T}

. Applying this cyclic permutation three times returns every vector to itself, proving

A^{3} = I

. Explicitly

A^{2} = 010001100

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