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Reduce the matrix A to normal form and hence find its rank where $ A \;=\;\left[ \begin{array}{cccc}0& 1& -3& -1\\1& 0& 4& 3\\3& 1& 0& 2 \\1& 1& -2& 0\end{array}\right] $
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written 7.8 years ago by | • modified 7.8 years ago |
R $ _1 \longleftrightarrow R_2 \ \; \ \; \ \therefore A \;=\;\left[ \begin{array}{cccc} 1& 0& 4& 3\ 0& 1& -3& -1\ 3& 1& 0& 2 \ 1& 1& -2& 0 \end{array}\right] \ \; \ \; \ \; \ R_3 \