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After finding the minor \(M_{ij}\), what is the next step to find the cofactor \(C_{ij}\)?

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Question

After finding the minor \(M_{ij}\), what is the next step to find the cofactor \(C_{ij}\)?

Options

  • Delete the \(i\)-th row and \(j\)-th column again.

  • Set \(C_{ij}=M_{ij}\) in every case.

  • Compute the sign factor \((-1)^{i+j}\).

  • Expand along row \(i\).

MCQ
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Solution

The cofactor procedure first uses the already calculated minor \(M_{ij}\). It then computes the sign factor \((-1)^{i+j}\) before multiplication.

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