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BITSAT2010MathematicsDeterminantsActual

If (A= [ array ll 1 & 3 3 & 2 2 & 5 array ] ) and (B= [ array cc -1 & -2 0 & 5 3 & 1 array ] ) and ( A + B - D =0 ) (zero matrix), then ( D ) matrix will be -

Options

  1. A( [ array ll 0 & 2 3 & 7 6 & 5 array ] )
  2. B( [ array ll 0 & 2 3 & 7 5 & 6 array ] )
  3. C( [ array ll 0 & 1 3 & 7 5 & 6 array ] )
  4. D( [ array cc 0 & -2 -3 & -7 -5 & -6 array ] )

Correct answer

C. ( [ array ll 0 & 1 3 & 7 5 & 6 array ] )

Step-by-step solution

Let (D= [ array ll a & b c & d e & f array ] ) ( aligned & A+B-C= [ array ll 1 & 3 3 & 2 2 & 5 array ]+ [ array cc -1 & -2 0 & 5 3 & 1 array ]- [ array ll a & b c & d e & f array ] & [ array ll 1-1- a & 3-2- b 3+0- c & 2+5- d 2+3- e & 5+1- f array ]= [ array ll 0 & 0 0 & 0 0 & 0 array ] aligned ) ( array ll - a =0 a =0,1- b =0 b =1, 3- c =0 c =3, & 7- d =0 d =7, 5- e =0 e =5, & 6- f =0 f =6, array ) ( D= [ array ll 0 & 1 3 & 7 5 & 6 array ] )

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