Infeasible L_1 minimization for complex constraint

I have a L_1 minimization problem where I’m given the following matrices: X(n,m) and V(n,m) where V is a complex matrix.

cvx_solver sdpt3        
cvx_begin quiet
cvx_solver sdpt3        
cvx_begin quiet
variable A(n,n);
minimize (norm(A,1));
subject to
A*X==V;
cvx_end

When I run the above code the program doesn’t display any error however the “cvx_status” is Infeasible. Any idea why this problem is infeasible in cvx.

Many thanks.