# Homework Help: Linear algebra - Quotient Group

1. Mar 17, 2010

### Leitmotif

1. The problem statement, all variables and given/known data
Let $$G$$ be subgroup of $$Z^2=Z \times Z$$ spanned by $$(4,2), (6,-12)$$. Compute quotient $$Z^2/G$$.

2. Relevant equations

3. The attempt at a solution
I was under the impression that I am supposed to write the vectors as columns in a matrix, and then compute the Smith-Normal form. Doing so, I obtain a 2x2 identity matrix, and I am not sure how to interpret the two 1's. Thanks in advance.