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Paragraph: Let be the determinant of a matrix A , where A= ( array lll a₁₁ & a₁₂ & a₁₃ a₂₁ & a₂₂ & a₂₃ a₃₁ & a₃₂ & a₃₃ array ) and C₁₁, C₁₂, C₁₃ be the cofactors of a₁₁, a₁₂, a₁₃ respectively. Question: What is the value of a₂₁ C₁₁+a₂₂ C₁₂+a₂₃ C₁₃ ?

Options

  1. A0
  2. B1
  3. C-

Correct answer

A. 0

Step-by-step solution

We know that a₂₁ C₁₁+a₂₂ C₁₂+a₂₃ C₁₃= O

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