<h2>
Answer:</h2>
The determinant of the given matrix is:
a) -42
<h2>
Step-by-step explanation:</h2>
We are given a matrix let A as:
Determinant of a matrix--
The determinant of a 2×2 i.e. a square matrix of order 2 is calculated as follows:
If:
then the determinant denoted by det(A) or |A| is given by:
Here a=5, b=4 , c=8 and d= -2
Hence, the determinant is given by:
The correct answer is: Option: a)