Find the determinant of the following 2x2 matrix: \[ \begin{bmatrix} 5 & 3 \\ 2 & 4 \end{bmatrix} \]

Step 1 ：The determinant of a 2x2 matrix \[ \begin{bmatrix} a & b \\ c & d \end{bmatrix} \] is given by the formula \(ad - bc\).

Step 2 ：Substitute the values into the formula: \(5 \times 4 - 2 \times 3 = 20 - 6\).