$(XY)^*=X^* Y^*$? Is it true for complex matrices $X,Y$ that
$$
(XY)^*=X^* Y^*?
$$
where $^*$ refers to complex conjugation.  How can we prove this if so?  Thanks!
Note: I am referring to complex conjugation, not the hermitan transpose. The answer below refers to hermitan tranpose.

For conjugate transpose it holds $(XY)^*=Y^*X^*$, see here.
Edit: For complex conjugation, indeed, $(XY)^*=X^*Y^*$, see here, and the wikipedia article here, section "generalisations".
