 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-1/8b/a/solution

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

All three Pauli matrices are Hermitian. Direct multiplication gives

σ_{a}^{2} = I

and, for

a \neq = b

σ_{a} σ_{b} = i ε_{ab c} σ_{c}

, which combines as the displayed identity.

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