Find the determinant of the 2x2 matrix ( begin{bmatrix} 4 & 2 3 & 5 end{bmatrix} ).

Question

Find the determinant of the 2x2 matrix ( begin{bmatrix} 4 & 2  3 & 5 end{bmatrix} ).

Accepted Answer

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).

Answer

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).

Find the determinant of the 2x2 matrix \( \begin{bmatrix} 4 & 2 \\ 3 & 5 \end{bmatrix} \).

Answer

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