Thread: determinant problem

Greetings!


I have a 2 x 2 matrix


3 1
2 0


I will calculate det(A³).


Formula is a₁₁a₂₂-a₁₂a_21.


So, 3*0 - 1*2 and that makes det = -2
Thus, det(A³) = (-2)³ = -8


And det(A^-3) would be (-2)^-3 = -0,125


I think I have calculated correctly. ?

In general,

.

Edit: So, yes, you are correct, in both instances. Good question.

-Andy

Thank you, Abender! Very nice to hear that they both are correct!