Question

use the following image to answer the question. question 39 find the determinant. \\(\

$$\begin{bmatrix} 0 & 1 \\\\ 2 & 1 \\end{bmatrix}$$

\\) select one \\(\bigcirc\\) 2 \\(\bigcirc\\) none of the answers are correct \\(\bigcirc\\) 0 \\(\bigcirc\\) -2

Explanation:

Step1: Recall determinant formula

For a 2x2 matrix

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

, determinant is $ad - bc$.

Step2: Apply formula to given matrix

Given matrix

$$\begin{bmatrix}0&1\\2&1\end{bmatrix}$$

, $a = 0$, $b = 1$, $c = 2$, $d = 1$.
Determinant = $(0\times1)-(1\times2)=0 - 2=-2$.

Answer:

-2