🎬The quotient law of tensors provides a test for whether a given set of components forms a tensor

The visualization demonstrates that if we rotate our coordinate system, the vectors $S$ and $T$ transform according to the rules of a vector. For the relationship $T=Q \cdot S$ to remain true in the new coordinate system, the matrix Q must also transform according to the rules of a tensor. This is the essence of the quotient law.

Operations and Properties of Tensors | Condensed Notesviadean on Notion