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Which multiplication completes the calculation of a cofactor?

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Question

Which multiplication completes the calculation of a cofactor?

Options

  • \[C_{ij}=(-1)^{i+j}+M_{ij}\]

  • \[C_{ij}=(-1)^{ij}+M_{ij}\]

  • \[C_{ij}=(-1)^{i+j}M_{ij}\]

  • \[C_{ij}=i+j+M_{ij}\]

MCQ
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Solution

The sign factor must multiply, rather than be added to, the minor. Therefore the cofactor is \((-1)^{i+j}M_{ij}\).

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