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KVPY2017MathematicsDeterminants

Let A⁻¹= [ array lll 1 & 2017 & 2 1 & 2017 & 4 1 & 2018 & 8 array ] . Then |2 ~A |- |2 ~A ⁻¹ | is equal to

Options

  1. A3
  2. B-3
  3. C12
  4. D-12

Correct answer

C. 12

Step-by-step solution

array l 2³| ~A |-2³ 1 | ~A | | A ⁻¹ |= | array lll 1 & 2017 & 2 1 & 2017 & 4 1 & 2018 & 8 array | 1 | ~A | =-2 | A |= -1 2 array Put the value answer is =12

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