 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ia/paper-1/8b/d/ii/solution

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

Let

U = (e_{3}, e_{1}, e_{2}) = 001100010 .

A e_{3} = e_{3}, A e_{1} = 2 e_{3} + 4 e_{1}, A e_{2} = 3 e_{3} + 5 e_{1} + 6 e_{2}

give

U^{†} A U = 100240356,

which is upper triangular.

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