Mathematics · JEE | DETERMINANTS

Let \( \Delta = \left|\begin{matrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{matrix}\right| \). If the cofactor of \( a_{ij} \) is denoted by \( A_{ij} = (-1)^{i+j} M_{ij} \), then the expression \( a_{21} A_{11} + a_{22} A_{12} + a_{23} A_{13} \) is identically equal to:

1. A
   \( \Delta \)
2. B
   \( 0 \)
3. C
   \( -\Delta \)
4. D
   \( 3\Delta \)