 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ia/paper-1/7b/a/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

A u = λ u

and

A v = μ v

λ u^{T} v = (A u)^{T} v = u^{T} A v = μ u^{T} v .

For

λ \neq = μ

, $u^{T} v = 0$ , so the eigenvectors are orthogonal.

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