Question

Which expression gives determinant expansion along row \(i\)?

Options

• \[|A|=\sum_{j=1}^{n}C_{ij}\]

• \[|A|=\sum_{j=1}^{n}a_{ij}C_{ij}\]

• \[|A|=\sum_{j=1}^{n}a_{ij}M_{ij}\]

• \[|A|=\sum_{i=1}^{n}a_{ij}C_{ij}\]

Answer 1

Expansion along a fixed row \(i\) sums over the column index \(j\). Each term is the element \(a_{ij}\) multiplied by its cofactor \(C_{ij}\).