Answer:
-3
Explanation:
For a 2 by 2 matrices such as B = [a b c d], the determinant is expressed as;
ad - bc
Given the matrices
[A] = [5 -4 3 -3]
Determinant of A = 5 (-3) - -4(3) (if you compare with the original matrices)
Determinant of A = -15 + 12
Determinant of A =-3
Hence the Determinant of A is -3