, then cofactor of a12 is :

Engineering

Mathematics

Introduction to Determinants

Question

$A = [\begin{array}{ll} 8 & 9 \\ 10 & 11 \end{array}]$ , then cofactor of a₁₂ is :

– 11

– 10

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By property of cofactor (2),
$A = [\begin{array}{ll} 8 & 9 \\ 10 & 11 \end{array}]$
minor of a₁₂ = M₁₂ = 10
So, cofactor of a₁₂ = M₁₂(– 1)¹⁺² = – M₁₂ = – 10

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