lemonthree
- 47
- 0
The options are
$$rank(B)+null(B)=n$$
$$tr(ABA^{−1})=tr(B)$$
$$det(AB)=det(A)det(B)$$
I'm thinking that since it's invertible, I would focus on the determinant =/= 0. I believe the first option is out, because null (B) would be 0 which won't be helpful. The second option makes the point that $$AA^{−1}$$ is $$I$$, so it's suggesting invertibility. So I'm deciding between the second and last option. Does anyone have any tips?
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