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Let $A = [a_{i j}] a n d B = [b_{i j}]$ be two $3 X 3$ real matrices such that $b_{i j} = {(3)}^{(i + j - 2)} a_{j i},$ where $i, j = 1, 2, 3.$ If the determinant of $B$ is 81 then the determinant of $A$ is

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Correct option is C

b11b12b13b21b22b23b31b32b33=30a113a129a133a219a2227a239a3127a3281a33=81×9a11a12a13a21a22a23a31a32a33=81×9×|A|81=81×9×|A|Therefore A=19

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Let A=aij and B=bijbe two 3X3 real matrices such that bij=3i+j−2aji,where i,j=1,2,3. If the determinant of B is 81 then the determinant of A is

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Let $A = [a_{i j}] a n d B = [b_{i j}]$ be two $3 X 3$ real matrices such that $b_{i j} = {(3)}^{(i + j - 2)} a_{j i},$ where $i, j = 1, 2, 3.$ If the determinant of $B$ is 81 then the determinant of $A$ is