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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

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Answer is (4)

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