An artificial-intelligence approach known as AlphaTensor found exact matrix-multiplication algorithms that are more efficient than those previously known for many matrix sizes.

For example, multiplying two 4×4 matrices together using a traditional schoolroom method would take 64 multiplications, while Strassen's algorithm can perform the same feat in 49 multiplications.

Elementary Matrices. and some Applications to Dynamics and Differential Equations. By Dr. R. A. Frazer, Dr. W. J. Duncan and A. R. Collar. Pp. xvi+416.

Improved 50 years worth of maths classesGoogle’s DeepMind has been using applied reinforced learning techniques to the multiplication of mathematical matrices and can do it better than some 50 ...