Question

Find the value for the following determinant.



-32
-42
42

Answer 1

Using the rule for 2x2 matrices,


`\begin{vmatrix}a&b\\c&d\end{vmatrix}=ad-bc`

the determinant for your matrix is


`\begin{vmatrix}5&-4\\8&2\end{vmatrix}=5*2-(-4)*8=42`

Answer 2

Option C, 42

Explanation:

As you have mentioned the matrix in the comment section. We have to find the determinant.

A =
`\begin{bmatrix}5 & -4\\ 8 & 2\end{bmatrix}`

Now determinant of this matrix will be written as

|A| = 5 × 2 - 8 ( -4 )

= 10 + 32

= 42

Option C is the answer.