Matrix Multiplication


### Anti [Commutative Property](https://texonom.com/commutative-property-216366d94b2d43fb87d11e87cc3a233a) 
$$AB \neq BA$$
### Sigma representation
$$A(Bu) = (AB)u = w = Cu$$
$$w_i = \sum_k{A_{ik}\sum_r{B_{kr}u_r}}=\sum_r{(\sum_k{A_{ik}B_{kr}})u_r}=\sum_r{(C_{ir})u_r}$$
ibm researcher Shumuel Winograd proved 6 computation or less is impossible for 3x3 multiplication
### Matrix Multiplication Algorithms
|Title|
|:-:|
|[AlphaTensor](https://texonom.com/alphatensor-c88b0c232de14ec787c29196bdffd2e2)|
|[Strassen’s Algorithm](https://texonom.com/strassens-algorithm-a9c7918cfa654b0a9b3d07b23e34da73)|









