Two remarks on reconstructing binary vectors from their absorbed projections

We prove two small results on the reconstruction of binary matrices from their absorbed projections: (1) If the absorption constant is the positive root of x 2 + x – 1 = 0, then every row is uniquely determined by its left and right projections. (2) If the absorption constant is the root of x 4 – x 3 – x 2 – x + 1 = 0 with 0 <x <1, then in general a row is not uniquely determined by its left and right projections