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Matter and matter attract each other. What about matter and antimatter? They repulse? Also attract?

Matter and matter attract each other. What about matter and antimatter? They repulse? Also attract?
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If you just take a positron and an electron, they attract each other because they've got opposite electrical charges. But a much more interesting question is if you make a matter atom and an antimatter atom, do they then attract each other? Because if they were two atoms, they would have a positive pull together from gravity. So an interesting question which I think Jeffrey might like to comment on is whether there's some anti-gravitational force related to antimatter...

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