About bijectivity of transformations determined by quasi-Hadamard matrixes

The article continues studies of bijective mapping determined by quasi-Hadamard matrixes started in [НЛ15]. It is proved that if mapping determined by quasi-Hadamard martixes $A_{n}$ is bijective, then the inverse mapping is set by the transposed matrix $A_{T}^n$. It is also proved that any quasi-Hadamard matrix of order 4, 6 or 8 determines bijective coordinate-threshold map.