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KCET2016MathematicsDeterminants

If ( A ) is any square matrix of order ( 3 3 ) then ( |3 A| ) is equal to

Options

  1. A( 3| ~A | )
  2. B( 1 3 A )
  3. C( 27| ~A | )
  4. D( 9 ~A )

Correct answer

C. ( 27| ~A | )

Step-by-step solution

We know that, ( |K ~A |=K^ n | ~A | ) So, ( |3 ~A |=3³|7 ~A | ) ( =27| ~A | )

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