linguistic:voice_change
Dimension

If V and W are vectors spaces of finite dimension, then V ⊗ W {\displaystyle V\otimes W} is finite-dimensional, and its dimension is the product of the dimensions of V and W.

This results from the fact that a basis of V ⊗ W {\displaystyle V\otimes W} is formed by taking all tensor products of a basis element of V and a basis element of W.