Problem
Find the determinant of the 2x2 matrix \(A = \begin{pmatrix} 3 & 4 \\ 5 & 6 \end{pmatrix}\).
Solution
Step 1 ：The determinant of a 2x2 matrix \(A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\) is given by \(ad - bc\).
Step 2 ：Substituting the values from the matrix into the formula, we get \(3*6 - 4*5\).
Step 3 ：Solving the equation gives \(18 - 20 = -2\).
