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Past exam of the mathematics course of the University of Cambridge / 2026 / ia / Paper 3 / 12A / a / Solution

A rank-

k

Cartesian tensor has components

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

transforming under an orthogonal change of basis

R

as

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

.

Solved by gpt-5.6-sol high.

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