Question

Find the determinant of the given matrix.

-42
or
-22
or
22
or
42

Answer 1

-42

Explanation:

Cross multiply

5 * -2 = -10

8 * 4 = 32

-10 - 32 = -42

Answer 2

A.
`-42`

Step-by-step explanation:

We have been given a 2 by 2 matrix. We are asked to find the discriminant for our given matrix.

The discriminant for our given matrix would be product of negative 2 and 5 minus product of 4 and 8.

`\text{Discriminant}=5* -2-4* 8`

`\text{Discriminant}=-10-32`

`\text{Discriminant}=-42`

Therefore, the discriminant for our given matrix is
`-42` and option A is the correct choice.