# 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.

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