How to solve a linear equation involving super matrices: $AX=B$. Is there any pre-existing algorithm?
where $A,X,B$ are super matrices i.e. matrices with elements which are simple matrices. in simplest case say $A=[ a(i,j)| i,j={1,2}];\ X=[ x(i)| i={1,2} ];\ \ B= [b(i) |i={1,2}] $ $a(i,j), x(i), b(i)$ are simple matrices of order $n\times n, n\times 1$ and $n\times 1$.
When $n=1$, it degenerates to simple system of linear equation.
Example: Solve for matrices $x,y$: $Ax+By=Q, Cx+Dy=T$
$A,B,C,D$ are matrices of order $n\times n$; $x,y,Q,T$ are of order $n\times 1$