(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let H be the set of all matrices with entries that are integers, with 1s on the main diagonal, and 0s below it.

A = [1 a b; 0 1 c; 0 0 1]

Now, if a set of matrices G contains the identity matrix, contains the inverse matrix of every matrix in G, and is closed under matrix multiplication, it is called a matrix group. The group described prior (H) is called the Heisenberg group. Now find the most general matrix C that belongs to H and commutes with all the elements of H, meaning that CA = AC for every A in H.

2. Relevant equations

3. The attempt at a solution

I determined that A^2 and A^-1 still belong to H, but I have no idea how to set this up. Any hints would be greatly appreciated. :)

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# Homework Help: Linear Algebra Theory Question - Heisenberg Group

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