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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181

answer is C.

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Detailed Solution

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

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