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Question Number 204211 by mnjuly1970 last updated on 08/Feb/24

Answered by witcher3 last updated on 08/Feb/24

$$\mathrm{detA}=7=\stackrel{-}{0}\mathrm{in}\mathbb{Z}/7\mathbb{Z}$$$$\mathrm{A}\notin \mathrm{GL}(2;\mathbb{Z}/7\mathbb{Z})$$$$$$

Commented by mnjuly1970 last updated on 08/Feb/24

$$youareright.icorrectedit.$$

Answered by deleteduser1 last updated on 08/Feb/24

$$A=\left(\begin{array}{cc}3& 2\\ 4& 5\end{array}\right)=\left(\begin{array}{cc}3& 2\\ -3& -2\end{array}\right)\Rightarrow \mid A\mid =-6-(-6)=0$$

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