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Manipal MET2019MathematicsDeterminants

If c=2 , then the value of the determinant = | array lll c & 1 & 0 1 & c & 1 6 & 1 & c array | is

Options

  1. A4
  2. B2 ^2 2
  3. C4 ^2 (2 -1)
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Given that c=2 = | array lll c & 1 & 0 1 & c & 1 6 & 1 & c array |= | array ccc 2 & 1 & 0 1 & 2 & 1 6 & 1 & 2 array | On expanding, we get aligned = & 2 [ (4 ^2 -1 ) ] & -1[(2 -6)]+0[(1-12 )] = & 8 ^3 -2 -2 +6 = & 8 ^3 -4 +6 aligned

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