Can vectors be inverted? I wish to enquire if it is possible to solve the below for $C$.
$$B^{-1}(x-\mu) = xc $$
Here obviously $B$ is an invertible matrix and both $c$ and $\mu$ are column vectors.
Would the solution be $$x^{-1}B^{-1}(x-\mu) = c $$ is it possible to invert vectors ?
How about if it was the other way
$$B^{-1}(x-\mu) = cx $$
Is there any other way to do this ?
Thanks in advance. 

There's no such thing as an inverse of a vector (unless the vector is actually a $1\times 1$ vector, of course).
Otherwise, there would be a solution $C$ for any $B,X,\mu$ (or at least any $X$ "invertible"), but that is obviously not the case (e.g. for any $X$ if we put $B=I$, $\mu$ linearly independent from $X$, there is no $C$).
