 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ia/paper-3/12b/iii/solution

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

A tensor is isotropic tensor if its components are unchanged under every proper orthogonal change of basis. The general isotropic rank-four tensor is

T_{ijk l} = a δ_{ij} δ_{k l} + b δ_{ik} δ_{j l} + c δ_{i l} δ_{jk},

where

a, b, c

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