JEE Main20257 Apr 2025Morning ShiftMathematicsMatricesActual

The number of singular matrices of order 2 , whose elements are from the set 2,3,6,9 is

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| array ll a & ~d ~b & c array |= ad - bc ad = bc Case-I Exactly 1 no. is used All singular = ^4 C ₁ Case-II Exactly 2 no. is used ^4 C ₂ 2 2 Case-III Exactly 3 no. is used None will be singular Case-IV Exactly 4 No. is used ad=bc aligned & 2 9=3 6 & | array ll 9 & - - & 2 array | ^4 C ₁ 21 aligned Total =36

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