Linear bijective maps preserving fixed values of products of matrices at fixed vectors

For a fixed integer n >= 2, let M-n be the algebra of all n x n matrices over the complex field C. Let x(1), x(2) is an element of C-n be two fixed nonzero vectors, and fix also y(1),y(2) is an element of C-n. In this paper, we characterize linear bijective maps phi : M-n -> M-n having the property that phi(A)phi(B)x(2) = y(2) whenever ABx(1) = y(1).