 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-1/8f/b/i/solution

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

A v = λ v

for a nonzero real vector

v

, then skew-symmetry gives

λ ∥ v ∥^{2} = v^{T} A v = - (A v)^{T} v = - λ ∥ v ∥^{2} .

Thus

λ = 0,

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