1. The problem statement, all variables and given/known data Show that if n>1 and F is an arbitrary field, the general linear group defined by n and F is non-abelian 2. Relevant equations A general linear group is the group of invertible matrices with entries from F A non abelian group is a group where the binary operation isn't commutative 3. The attempt at a solution I thought that a good way to go about this problem would be to find two general invertible matrices that don't commute. However, I'm having trouble finding them. Is this the right way to go about it? If not, how can I prove this?