There are several other visualizations that can be useful too: Multiplication We can see matrix by matrix multiplication from 5 different positions: row

There are several other visualizations that can be useful too: Multiplication We can see matrix by matrix multiplication from 5 different positions: row by column multiplication column at a time row at a time as sum of outer products block multiplication All of them are equivalent and lead to the same result http://mlwiki.org/index.php/Matrix-Matrix_Multiplication http://mlwiki.org/index.php/Matrix-Matrix_Multiplication Does your mental model fit into one of these, or is it also reversed in the order it is applied? It would indeed be interesting to allow visualizations of all the approaches.