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NDA2017MathematicsDeterminantsActual

The value of the determinant | array ccc 1- & - ^2 & ^2 1- & - ^2 & ^2 1- & - ^2 & ^2 array | is equal to

Options

  1. A( - )( - )( - )
  2. B( - )( - )( - )
  3. C( - )( - )( - )( + + )
  4. D0

Correct answer

B. ( - )( - )( - )

Step-by-step solution

aligned & | array ccc 1- & - ^2 & ^2 1- & - ^2 & ^2 1- & - ^2 & ^2 array | & c₁ c₁+c₂+c₃ & = | array ccc 1 & - ^2 & ^2 1 & - ^2 & ^2 1 & - ^2 & ^2 array | aligned aligned & c₂ c₂+c₃ & = | array lll 1 & & ^2 1 & & ^2 1 & & ^2 array |=( - )( - )( - ) aligned

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