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: \(20 - 6\).

From Solvely APP
Source: https://solvelyapp.com/problems/9fJVE9LsQX/

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