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KCET2018MathematicsMatrices

If ( [ array cc 1 & 1 -1 & 1 array ] [ array l x y array ]= [ array c 2 4 array ] ), then the values of ( x ) and ( y ) respectively are

Options

  1. A( -3,-1 )
  2. B( 1,3 )
  3. C( 3,1 )
  4. D( -1,3 )

Correct answer

D. ( -1,3 )

Step-by-step solution

Given that, ( [ array cc 1 & 1 -1 & 1 array ] [ array l x y array ]= [ array l 2 4 array ] ) ( [ array c x+y -x+y array ]= [ array l 2 4 array ] ) So, ( x+y=2 ) (1) and ( -x+y=4 (2) ) From Eqs. (1) and (2), we have ( x=-1, y=3 )

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