Originally Posted by

**phileas** Is there any way to solve matrix equations A=BX, where A, B and X are all n*n matrices, and you know A and B but not X, and det(A)=det(B)=0, so you can't use an inverse?

If there's no generalized way, is there any theory about how to get started on this problem? Any links or references would be appreciated.

Google can't seem to focus on this particular topic because anytime you search for solving matrix equations, you get links to solving Ax=b, where x and b are vectors and not matrices.

Thanks much!