Question

Which multiplication completes the calculation of a cofactor?

विकल्प

• \[C_{ij}=(-1)^{i+j}+M_{ij}\]

• \[C_{ij}=(-1)^{ij}+M_{ij}\]

• \[C_{ij}=(-1)^{i+j}M_{ij}\]

• \[C_{ij}=i+j+M_{ij}\]

Answer 1

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