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Paragraph: = | array lll a₁ & a₂ & a₃ b₁ & b₂ & b₃ d₁ & d₂ & d₃ array |M_ i j = Minor of the element of i ^ th row and j^ th column C_ i j = Cofactor of the element of i ^ th row and j ^ th column Question: Value of b₁ C₃₁+b₂ C₃₂+b₃ C₃₃ is

Options

  1. A0
  2. B2
  3. C^2

Correct answer

A. 0

Step-by-step solution

aligned & b₁ c₃₁+b₂ c₃₂+b₃ c₃₃ & b₁ | array ll a₂ & a₃ b₂ & b₃ array |-b₂ | array ll a₁ & a₃ b₁ & b₃ array |+b₃ | array ll a₁ & a₂ b₁ & b₂ array |=0 aligned

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