Problem
Find the determinant of the 2x2 matrix \( \begin{bmatrix} 4 & 2 \\ 3 & 5 \end{bmatrix} \).
Solution
Step 1 ：Step 1: Identify the elements of the matrix: \(a = 4\), \(b = 2\), \(c = 3\), and \(d = 5\).
Step 2 ：Step 2: Apply the formula for the determinant of a 2x2 matrix, which is \(ad - bc\).
Step 3 ：Step 3: Substitute the values into the formula: \((4 * 5) - (3 * 2)\).
Step 4 ：Step 4: Simplify the expression: \(20 - 6\).
