Solving Abstract Algebra Problem: Proving Isomorphism & Listing Generators

[WM07]

Can some one help me, how to solve this problem?. Please explain me how is done, been having problem with the subject


Let H be the subgroup of GL(2, R) under Matrix multiplication defined by
H = {[ 1 n ]}| n E Z }
0 1


Let 0: Z à H be the function defined by

phi(n) = [ 1 n ]
0 1

How do I prove phi is an isomorphism and how I list the generators

I tried to add the two matrix, but I am getting 0's, I just need explanation on the problem

 

[JasonRox]

[1 n] is not a matrix in GL(2,R) so H clearly can not be a subgroup of GL(2,R).

Either you're missing something or I'm missing something completely.