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

Question

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

Accepted Answer

Step:1 ：The determinant of a 2x2 matrix ( A = begin{bmatrix} a & b  c & d end{bmatrix} ) is given by the formula ( ad - bc ).Step:2 ：Substitute the given values into the formula, we get ( (3)(5) - (2)(4) ).Step:3 ：Simplify the expression to get the determinant.

Answer

Step: 1 ：The determinant of a 2x2 matrix ( A = begin{bmatrix} a & b  c & d end{bmatrix} ) is given by the formula ( ad - bc ).Step: 2 ：Substitute the given values into the formula, we get ( (3)(5) - (2)(4) ).Step: 3 ：Simplify the expression to get the determinant.

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

Answer

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