Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 3 / 12B / i / Solution

A tensor of rank $n$ is a multilinear map of $n$ vector or covector arguments, equivalently an element of an $n$-fold tensor product. In components it obeys one change-of-basis factor for each of its $n$ indices.

Solved by gpt-5.6-sol high.