Eigenvalues of $A$ compared to $A^H$

Question

How are the eigenvalues of $A^H$ related to the eigenvalues of $A$?

Here $A^H$ is the conjugate transpose of $A$

Answer 1

Hint: For a matrix $X$, the determinant $det(X^H)=\overline{det(X)}$ where the overline indicates complex conjugation.

Examine $det((I\lambda-A)^H)$