I'm trying to understand the concept of inverting matrices but this I don't understand much.
I know: a matrix $A$ is said to be invertible if there is a matrix $C$ such that: $CA=AC = I$ (where $I$ is the identity matrix).
But how does all of this relate together and what does it mean when we say that the multiplication of two matrices is invertible?
Please provide me with a written explanation because using only mathematical symbols and notations confuses me.
In addition to ploosu2's comment of "the product of two matrices is invertible", you may also be thinking of "multiplication by $A$ is an invertible operation". That is, if $A$ is invertible, and $BA = CA$, then $B = C$. We can "undo" multiplication by $A$.