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在$GL_2(𝔽_p)$证明两个矩阵相似

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hbghlyj posted 2023-6-20 06:15 |Read mode
在$GL_2(𝔽_p)$证明矩阵\begin{bmatrix} 1&a \\ 0&1\end{bmatrix}和\begin{bmatrix} 1&1 \\ 0&1\end{bmatrix}相似
来自Math tripos part IA, 2012 7E最后一步.

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$\binom{1\,\,0}{0\,\,a}^{-1}\cdot \binom{1\,\,1}{0\,\,1}\cdot \binom{1\,\,0}{0\,\,a}=\binom{1\,\,a}{0\,\,1}$.  posted 2023-6-20 15:37

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