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Manipal MET2018MathematicsDeterminants

If A+B+C= , then | array ccc (A+B+C) & B & C - B & 0 & A ^ (A+B) & - A & 0 array | is equal to

Options

  1. AA
  2. BA B
  3. C0
  4. DNone of these

Correct answer

C. 0

Step-by-step solution

In a triangle A B C , A+B+C= , aligned & (A+B+C)=0, (A+B)=- C & | array ccc (A+B+C) & B & C - B & 0 & A (A+B) & - A & 0 array | & = | array ccc 0 & B & C - B & 0 & A - C & - A & 0 array | & =0 aligned ( array rl & It is the determinant of a skew symmetric matrix of odd order. array )

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