In general,
.
Edit: So, yes, you are correct, in both instances. Good question.
-Andy
Greetings!
I have a 2 x 2 matrix
3 1
2 0
I will calculate det(A^{3}).
Formula is a_{11}a_{22}-a_{12}a_{21.}
So, 3*0 - 1*2 and that makes det = -2
Thus, det(A^{3}) = (-2)^{3} = -8
And det(A^{-3}) would be (-2)^{-3 }= -0,125
I think I have calculated correctly. ?