Question

calculate the determinant.
d = \

$$\begin{vmatrix} a & b \\\\ c & d \\end{vmatrix}$$

=

d = \

$$\begin{vmatrix} a & b \\\\ c & d \\end{vmatrix}$$

= \square (simplify your answer.)

Explanation:

Step1: Recall determinant formula

For a 2x2 matrix

$$\begin{vmatrix}a&b\\c&d\end{vmatrix}$$

, the determinant is calculated as $ad - bc$.

Step2: Apply the formula

Using the formula, the determinant of

$$\begin{vmatrix}a&b\\c&d\end{vmatrix}$$

is $a\times d - b\times c = ad - bc$.

Answer:

$ad - bc$