Block Multiplication: Blocks Multiply Like Numbers

Chapter 10 · Mathematics for AI and Machine Learning · Beginner · 1:28

An interactive live film: the book's 3 × 4 times 4 × 2 example as six bars, each stacked from the teal and amber block products; move the cut and the parts change while every bar keeps its height, (AB)ᵢⱼ = Σₖ AᵢₖBₖⱼ.

Narration

Here is the book's example. A is three by four, B is four by two, and the six bars are the entries of A times B.

Cut the columns of A and the rows of B at the same place, after the second. Now A is two blocks side by side, teal and amber, and B is two blocks stacked on top of each other, teal and amber.

The rest of the narration is in the book's Companion.