🎬how tensors behave under a change of basis

Tensors are objects that exist independently of the coordinate system you use to describe them. The animation visually proves this by keeping the red vector and blue ellipse (the tensors) fixed in space, while their numerical components change in real-time as the coordinate system rotates. This shows that the numbers you use to describe a tensor are just a representation, while the physical object itself is constant.

Verifying Tensor Transformations | Proof and Derivationviadean on Notion