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Manipal MET2016MathematicsDeterminants

| array ccc & & 2 ( + 2 3 ) & ( + 2 3 ) & (2 + 4 3 ) ( - 2 3 ) & ( - 2 3 ) & (2 - 4 3 ) array | equals

Options

  1. A3
  2. B^3
  3. C0
  4. DNone of these

Correct answer

C. 0

Step-by-step solution

= | array ccc & & 2 ( + 2 3 ) & ( + 2 3 ) & (2 + 4 3 ) ( - 2 3 ) & ( - 2 3 ) & (2 - 4 3 ) array |= | array ccc & & 2 2 2 3 & 2 2 3 & 2 2 4 3 ( - 2 3 ) & ( - 2 3 ) & (2 - 4 3 ) array | Applying R₂ R₂+R₃ , =- | array ccc & & 2 & & 2 ( - 2 3 ) & ( - 2 3 ) & (2 - 4 3 ) array |=0 as R₁=R₂

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