I need to find the Smith Normal form of $\begin{pmatrix} 7\theta-14 & \theta^2/2-2\theta+3\\ \theta^2 - 4\theta + 6 & 0 \end{pmatrix}$. This is a sub problem of a bigger problem. The problem with this is that I don't see how the standard algorithm can work here. If I multiply first column by some polynomial and add to second row then $0$ changes and it doesn't change to something good, because I simply get a polynomial of a degree of $3$ there and this will keep going endlessly. Any suggestions? Thanks in advance.
2026-04-11 13:16:52.1775913412
Find Smith's normal form of $\begin{pmatrix} 7\theta-14 & \theta^2/2-2\theta+3\\ \theta^2 - 4\theta + 6 & 0 \end{pmatrix}$
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