Question

Find the value for the following determinant

Answer 1

42

Explanation:

determinant of matrix

= 5(2) - 8(-4)

= 10 - (-32)

= 10 + 32

= 42

Answer 2

32

Explanation:

the determinant of matrix

`\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]` = ad - bc

then

`\left[\begin{array}{ccc}5&-4\\8&2\\\end{array}\right]`

= (5 × 2) - (- 4 × 8) = 10 - (- 32) = 10 + 32 = 42