Select all statements below which are true for all invertible $n\times n$ matrices $A$ and $B$

A. $AB=BA$
B. $(A+B)(A-B) = A^2-B^2$
C. $(ABA^{-1})^3 = AB^3 A^{-1}$
D. $(AB)^{-1} = A^{-1}B^{-1}$
E. $A+A^{-1}$ is invertible
F. $5 A$ is invertible