Mathematics · JEE | DETERMINANTS

Let \( A \) be a \( 2 \times 2 \) matrix given by \( A = \begin{bmatrix} a_{11} & a_{12} \ a_{21} & a_{22} \end{bmatrix} \). What is \( \det(A) \)?

1. A
   \( a_{11}a_{22} + a_{21}a_{12} \)
2. B
   \( a_{12}a_{21} - a_{11}a_{22} \)
3. C
   \( a_{11}a_{21} - a_{12}a_{22} \)
4. D
   \( a_{11}a_{22} - a_{21}a_{12} \)