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Trying to do it step by step with RREF operations but I'm not making any progress, is there any more straight forward way to do this?

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  • $\begingroup$ How are you doing this "step by step"? $\endgroup$ Commented Mar 12, 2020 at 5:58
  • $\begingroup$ Making the original matrix on the left side and identity matrix on the right side and do RREF left and right at the same time. $\endgroup$
    – YZY
    Commented Mar 12, 2020 at 6:00
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    $\begingroup$ Can you write up your work in the question? $\endgroup$ Commented Mar 12, 2020 at 6:00
  • $\begingroup$ But I don't know how to approach this... $\endgroup$
    – YZY
    Commented Mar 12, 2020 at 6:02
  • $\begingroup$ This matrix appears to be singular over $\mathbb Z_5$. $\endgroup$
    – amd
    Commented Mar 12, 2020 at 7:38

1 Answer 1

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In $\mathbb Z_5$, it holds $2\cdot 3=1$ and $4\cdot 4=1$. Using this information, you can divide by any number, and proceed with the usual algorithm.

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  • $\begingroup$ Yes that is correct, but how can I know only with doing RREF? $\endgroup$
    – YZY
    Commented Mar 12, 2020 at 14:25

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