🎬how a tensor's components change when you transform the coordinate system while the result of the co

While a tensor's components change when the coordinate system is transformed, the value of its contraction (the trace) remains the same. This proves that tensor contraction is a fundamental, coordinate-independent property of the tensor itself, not just a calculation tied to a specific set of coordinates.

Proof of Coordinate Independence of Tensor Contraction | Proof and Derivationviadean on Notion