After yet another awesome announcement by <DeepMind> that it had improved theoretical 4x4 matrix multiplication reducing the number of scalar multiplications with its <AlphaEvolve> system, I decided to have a look at the smallest open size 3x3 to understand what was going on in there.

I've dumped what I gathered at:
* https://math.stackexchange.com/a/5065930/53203
* https://www.reddit.com/r/math/comments/1komgnr/til_you_can_multiply_two_3x3_matrices_with_only/

Announced at:
* https://mastodon.social/@cirosantilli/114523670306611862
* https://x.com/cirosantilli/status/1923749179458773429


 Understanding the state of 3x3 matrix multiplication

ID: updates/understanding-the-state-of-3x3-matrix-multiplication