Problem: I would like to solve the respective equation: $$A * B^{-1} * C = x$$ without inverting $B$, because of their giant dimensions $(6\cdot 10^5\times 6\cdot 10^5)$.
$x$ is a scalar, $A$ and $C$ are vectors with $(1\times6\cdot 10 ^5)$ and $(6\cdot 10 ^5\times 1)$ respectively.
Question: Is it possible to manipulate this expression so that the final expression does not contain any inverse matrix?