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KCET2019MathematicsDeterminants

If the value of a third order determinant is ( 16 ), then the value of the determinant formed by replacing each of its elements by its co factor is

Options

  1. A(18)
  2. B( 16 )
  3. C( 96 )
  4. D( 256 )

Correct answer

D. ( 256 )

Step-by-step solution

( ( D ) ) ( | A |=16, O ( A )=3 ) ( | adj A |=|A|² ) ( =16² ) ( =256 )

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