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KCET2011MathematicsDeterminants

| array ccc & & ( + ) & & ( + ) & & ( + ) array | is equal to

Options

  1. A0
  2. B1
  3. C1+
  4. D1-( - )( - )( - )

Correct answer

A. 0

Step-by-step solution

Given, | array ccc & & ( + ) & & ( + ) & & ( + ) array |= | array ccc & & + & & + & & + array |= | array ccc & & & & & & array |+ | array ccc & & & & & & array |= | array ccc & & & & & & array |+ | array ccc & & & & & & array | = 0+ 0 ( C₁ . and C₂ are identical =0C₂ and C₃ identical.)

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