 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-3/12a/a/solution

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

A rank-

k

Cartesian tensor has components

T_{i_{1} \dots i_{k}}

transforming under an orthogonal change of basis

R

T'_{i_{1} \dots i_{k}} = R_{i_{1} j_{1}} \dots R_{i_{k} j_{k}} T_{j_{1} \dots j_{k}}

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