Determinant of Determinant

Question

What is det(det(A)) ?
Det(A)=4
Which is the answer
- 4
- 16

when I think of this question I thought answer

to be 4 As det(det(A)) = det(4) { now I will treat it as a single element } = 4
But this turns out to be wrong why ?? det(det(A)) = det(A).det(A) ?

Answer 1

If you have the determinant of A, you have a value of spatial scaling. The value is a real number, meaning you flatten the space into a value. If you take that value of scaling and take the value that that scales to (the determinant), you have the determinant itself.