數學(A)

(5%) If $A$ is similar to $B$, how many of the following statements are true?

• $A^{-1}$ is similar to $B^{-1}$.
• $A$ and $B$ have the same eigenvalues.
• $A$ and $B$ represent the same transformation with respect to different bases.
• The nullity of $A$ is the same as the nullity of $B$.