 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ia/paper-1/8b/b/i/solution

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

n

as a column vector, the reflection is

Φ (x) = x - 2 n (n^{T} x),

H = I - 2 n n^{T}, H_{ij} = δ_{ij} - 2 n_{i} n_{j} .

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