If the feeling is mutual, both of you feel the same the way, like a mutual admiration society. Mutual means shared. In finance it is used to describe trusts or funds that pool the money of many investors to buy securities.
Mutual is a word to describe something two people or groups share. Nations will engage in a policy of mutual support; co-workers make a mutual effort; two businesses reach a mutual understanding. It's a good thing, being mutual. Mutual consent means you and your partner agree to do something together, be it composting your refuse in the backyard or dressing in furry mascot costumes for kicks. If something is mutual, it's okay with everyone involved.