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#### buckylomax

##### New member

- Aug 3, 2012

- 3

I'm trying to figure out this question:

Let A=[a

_{ij}] be a 3x3 matrix with integer entries and let B=[b

_{ij}] be it’s transpose. Let P and Q be the Abelian groups represented by A and B respectively. Show that P and Q are isomorphic by comparing the effects of row and column operations on A and B.

I've very stuck with this question. I figure I need to reduce both matrices to diagonal form and then compare them but I'm not sure how to get there. Any advices would be appreciated.

Thanks

B.