Solving systems of equations stored in a matrix

Hi! 

I want to create a matrix of variables, and another matrix of variables that are different from the first matrix.

The idea is to generate a matrix of equations, then reshape the matrix into an array of functions, and then enter the array into "solve" to solve the system of equations.  

I was able to do this in a different software package, and I was able to do it.

Basically, (matrix a - matrix b - identity matrix).  Then, "equate" this matrix to a matrix of zeros to generate the right hand side.

Can this be done in maple? How would one do this?