Tensor Product

We start by showing a simple example:

v = \begin{bmatrix} v_1 \\ v_2 \\ v_3 \end{bmatrix}

w = \begin{bmatrix} w_1 & w_2 & w_3 & w_4 \end{bmatrix}

v \otimes w = \begin{bmatrix} v_1w_1 & v_1w_2 & v_1w_3 & v_1w_4 \\ v_2w_1 & v_2w_2 & v_2w_3 & v_2w_4 \\ v_3w_1 & v_3w_2 & v_3w_3 & v_3w_4 \\ \end{bmatrix}

Appendix A

From your prior work with products, but probably aware that for every idea there’s at least two or three different names of products corresponding to it. For example Dot Product and Inner Product are practically synonymous, in fact it took some work to find any indication of a difference.

Tensor Product and Outer Product are close friends.

The same symbol is used, \otimes .