Laplace expansion along a row or column for JEE

Formula

\(\det(A)=\sum_{j=1}^{n} a_{ij}C_{ij}=\sum_{i=1}^{n} a_{ij}C_{ij}\).

Variables: \(C_{ij}\): cofactor of \(a_{ij}\).

Conditions: For any square matrix \(A\).

Evaluation by suitable row/column expansion.