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 \(18 - 20 = -2\).

From Solvely APP
Source: https://solvelyapp.com/problems/ViAqD75cb7/

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