Cyclic Subgroup

I need to prove that H={(1 n 0 1) | n is an element of the integers} is a cyclic subgroup of GL2(reals). H is a matrix with the first row 1 and n and the second row 0 and 1. I appreciate the help!

i suppose you mean:



the way to do this is show that:

defined by:



is an isomorphism of groups. this means that if:



you need to show that:



and that is bijective.