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  1. Home
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Miscellaneous·2022·Easy

Let Δ be the determinant of a matrix A , where A = | a₁₁ a₁₂ a₁₃ | | a₂₁ a₂₂ a₂₃ | | a₃₁ a₃₂ a₃₃ | and C₁₁, C₁₂, C₁₃ be the cofactors of a₁₁, a₁₂, a₁₃ respectively. What is the value of | a₂₁ a₃₁ a₁₁ | | a₂₃ a₃₃ a₁₃ | | a₂₂ a₃₂ a₁₂ |

Let Δ be the determinant of a matrix A, where A = | a₁₁ a₁₂ a₁₃ | | a₂₁ a₂₂ a₂₃ | | a₃₁ a₃₂ a₃₃ |

and C₁₁, C₁₂, C₁₃ be the cofactors of a₁₁, a₁₂, a₁₃ respectively.

What is the value of

| a₂₁ a₃₁ a₁₁ | | a₂₃ a₃₃ a₁₃ | | a₂₂ a₃₂ a₁₂ |

Options

  1. a.

    0

  2. b.

    1

  3. c.

    Δ

  4. d.

    '-Δ

    Correct answer

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