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Reduce matrix A to normal form and find its rank where $ \\ \; \\ A=\left[ \begin{array}{cccc} 1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5 \end{array} \right] $
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A = $ \left[ \begin{array}{ccc} 1& 2& 3& 2\\ 2& 3& 5& 1\\ 1& 3& 4& 5 \end{array}\right] \\ \; \\ \; \\ \; \\ R_2 \rightarrow R_2-2R_1 \\ R_3 \rightarrow R_3-R_1 \\ \; \\ \; \\ A\;=\; \left[ \begin{array}{ccc} 1& 2& 3& 2\\ 0& -1& -1& -3\\ 0& 1& …

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