 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-1/6c/e/solution

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

The line/plane decomposition gives

det A = (α + β) (α^{2} + γ^{2}) .

Substituting the values in part (a) and simplifying yields

det A = \frac{1}{2} (a + b + c) ((a - b)^{2} + (b - c)^{2} + (c - a)^{2}) .

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