solve matrix equations with ^(-1)

37 Views Asked by At

I know matrices $A$ and $B$, whereas matrix $X$ is unknown.

Dear friend, can i do the following conversions with matrix

$(A + 2X)^{-1} = B$

$((A + 2X)^{-1})^{-1} = B^{-1}$

$A + 2X = B^{-1}$

if I'm wrong, I would like to know the right way to solve this equation, thanks