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by faceplanted 827 days ago
Well, 0 isn't really possible, but assuming you're just asking "What would the impact be on the world if me made matrix multiplication trivial" in the same way that people ask what making a room temperature superconductor would do for us.

The answer is quite a lot in computing terms, matrix multiplication is used everywhere, most notably at the moment, neural networks use almost entirely matrix multiplication, so their power consumption would drop almost entirely, and correspondingly we could scale them up enormously, your phone could run GPT5 locally as long as it had the storage space, high fidelity computer vision everywhere would become trivial, Google Glass might even become useful.

Previously very limited engineering simulations like weather forecasting would improve by leaps and bounds.

Basically everything would change all at once because we'd have effectively made p = np, any problem you can turn into a matrix multiplication (so basically most maths problems) would become solvable.

At the moment we use hardware like GPU's and TPU's in the case of AI to make matrix multiplication much quicker and the companies that make them have recently become some of the biggest in the world because it's so important to everything we do now to be able to multiply matrices quickly.