Is it possible to represent a binary( 0 and 1) matrix $A$ of size $ m \times n$ as a product of two martices $B$ of size $m \times k$ and $C$ of size $k \times n$. Various cases can also be considered here
- only $B$ is binary
- only $C$ is binary
- Both $B$ and $C$ is binary.
If no such $B$ and $C$ matrix exist, is there any way to find the close approximate to matrix $A$