Let A = [aᵢⱼ] and B = [bᵢⱼ] be two 3 x 3 real matrices such that bij = (3)(i + j – 2)aⱼᵢ, where i, j = 1, 2, 3. If the determinant of B is 81, then the determinant of A is :
(1) 3
(2) 1/3
(3) 1/81
(4) 1/9