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BITSAT2012MathematicsMatricesActual

Let A= [ array ll 0 & 0 & 0 array ] and (A+I)⁵⁰-50 A= [ array ll a & b c & d array ] , find a b c+a b d+b c d+a c d

Options

  1. A0
  2. B-1
  3. C1
  4. DNone of these

Correct answer

A. 0

Step-by-step solution

As A ²=0, ~A ^ k =0 k 2 Thus, ( A + I )⁵⁰= I +50 ~A ( A + I )⁵⁰-50 ~A = I a =1, ~b =0, c =0, ~d =1 abc + abd + bed + acd =0

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