 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ii/paper-3/19j/e/solution

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

ρ (g)

are

λ_{1}, \dots, λ_{d}

, then those of

g

⋀^{2} V

are

λ_{i} λ_{j}

for

i < j

χ_{\land^{2} V} (g) = i < j \sum λ_{i} λ_{j} = \frac{1}{2} (χ_{V} (g)^{2} - χ_{V} (g^{2})) .

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