Respuesta :

Answer:

-42

Step-by-step explanation:

Cross multiply

5 * -2 = -10

8 * 4 = 32

-10 - 32 = -42

Answer:

A. [tex]-42[/tex]

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.

[tex]\text{Discriminant}=5\times -2-4\times 8[/tex]  

[tex]\text{Discriminant}=-10-32[/tex]

[tex]\text{Discriminant}=-42[/tex]

Therefore, the discriminant for our given matrix is [tex]-42[/tex] and option A is the correct choice.