A set of matrices can be defined as uniformly hyperbolic if products of the matrices have a norm that grows exponentially. A paper written by Avila, Bocci, and Yoccoz in 2008 has expanded on this concept and posed a variety of questions on this subject. In this talk we will go over some of the concepts covered in this paper, a few additional tools developed to help study this subject, and ways the tools are being used to address the questions posed.