Question

For \(i\ne k\), which mixed row/column property is correct?

Options

• \[\sum_{j=1}^{n}a_{ij}M_{kj}=0\]

• \[\sum_{j=1}^{n}a_{ij}C_{kj}=0\]

• \[\sum_{j=1}^{n}a_{ij}C_{ij}=0\]

• \[\sum_{i=1}^{n}a_{ij}C_{kj}=0\]

Answer 1

When \(i\ne k\), the mixed row/column sum uses elements \(a_{ij}\) and cofactors \(C_{kj}\). This sum is equal to zero.