7. Consider the system Ax = g and any c-inverse A^c of the m x n matrix A. Let h₁, h₂, ..., h_r be any set of vectors from E_n, and let c₁, c₂, ..., c_r be any set of scalars. Show that if the system is consistent the vector y is a solution to the system where y = A^cg + ∑_i=1^rc_i(I - AA^c)h_i.