Finding statistics is not a simple task, because if it's not done correctly, it is erroneous.

Anyways, I went to cpan, and searched for "statistics', and Statistics-Basic looks like a possibility for you. Matrices can be looked at like a collection of vectors, so you may be able to use this as an approach.

Anyways, your question is a big one, and I wouldn't expect a simple solution where you just drop in your matrices, and have correct answers pop out.