Assignment:
Q1. Let G = GL(2,R) be the general linear group. Let H=GL(2,Q) and K= SL(2,R) = {A is an element of G: det (A) =1} Show that H,K are subgroups of G
Q2. Let p be a prime number and a is an element of Z. Prove that a^p ,is equivalent to, a mod p
Provide complete and step by step solution for the question and show calculations and use formulas.