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KCET2019MathematicsDeterminants

If ( A= [ array ll 1 & 3 4 & 2 array ], B= [ array cc 2 & -1 1 & 2 array ] ) then ( |A B B^ |= )

Options

  1. A( -250 )
  2. B( 250 )
  3. C( 50 )
  4. D( 100 )

Correct answer

A. ( -250 )

Step-by-step solution

(A) [ array l A= [ array ll 1 & 3 4 & 2 array ], B= [ array cc 2 & -1 1 & 2 array ] B^ = [ array cc 2 & 1 -1 & 2 array ] |A B B^ |=|A||B| |B^ | =(2-12) (4+1) (4+1) =-10 5 5=-250 array ]

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