# Associativity of Hadamard and matrix product

1. Oct 11, 2014

### Zoli

Hi,

Let us suppose we have three real matrices $A, B, C$ and let $\circ$ denote the Hadamard product, while $AB$ is the conventional matrix product. Is this relation true for all $A, B, C$ matrices:
$$C \circ (AB) = A( C\circ B)?$$
I looked at it more thoroughly and I realized that this assumption is not true. But then what relation can be created between matrix product and Hadamard product?
Thanks,
Zoli

Last edited: Oct 11, 2014
2. Oct 16, 2014