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KCET2009MathematicsDeterminants

The value of | array ccc 1 & _ x y & _ x z _ y x & 1 & _ y z _ z x & _ z y & 1 array | is equal to

Options

  1. A0
  2. B1
  3. Cx y z
  4. Dx y z

Correct answer

A. 0

Step-by-step solution

| array ccc 1 & _ x y & _ x z _ y x & 1 & _ y z _ z x & _ z y & 1 array |=1 (1- _ y z _ z y )- _ x y ( _ y x - _ z x _ y z ) + _ x z ( _ z y ( _ y x - _ z x ) .= (1- _ y y )- _ x y ( _ y x - _ y x )+ _ x z ( _ z x - _ z x )=(1-1)-0+0=0

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