Question

What is the determinant of m= {5 8 -5 4} ? 20 40 60 80

Answer 1

Answer:

60

Step-by-step explanation:

We have been given the matrix;

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

For a 2-by-2 matrix, the determinant is calculated as;

( product of elements in the leading diagonal) - (product of elements in the other diagonal)

determinant = ( 5*4) - (8*-5)

                     = 20 - (-40) = 60