Question

Which expression gives determinant expansion along column \(j\)?

Options

• \[|A|=\sum_{j=1}^{n}a_{ij}C_{ij}\]

• \[|A|=\sum_{i=1}^{n}a_{ij}C_{ij}\]

• \[|A|=\sum_{i=1}^{n}C_{ij}\]

• \[|A|=\sum_{i=1}^{n}a_{ij}M_{ij}\]

Answer 1

Expansion along a fixed column \(j\) sums over the row index \(i\). Every term has the form \(a_{ij}C_{ij}\).