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row_echelon_form

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row_echelon_form [2016/01/28 11:25] rupertrow_echelon_form [2016/01/28 11:27] (current) rupert
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   - In every non-zero row of the matrix, the [[leading entry]] is $1$.   - In every non-zero row of the matrix, the [[leading entry]] is $1$.
   - If row $i$ and row $(i+1)$ are both non-zero, then the leading entry in row $(i+1)$ is to the right of the leading entry in row $i$. <html><br /></html>In other words, as you go down the rows, the leading entries must go to the right.   - If row $i$ and row $(i+1)$ are both non-zero, then the leading entry in row $(i+1)$ is to the right of the leading entry in row $i$. <html><br /></html>In other words, as you go down the rows, the leading entries must go to the right.
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 For example, $\left[\begin{smallmatrix} 1&2&3&4&5\\0&1&2&3&4\\0&0&1&2&3\end{smallmatrix}\right]$ and $\left[\begin{smallmatrix} 1&2&3&4&5\\0&1&2&3&4\\0&0&1&2&3\\0&0&0&0&0\end{smallmatrix}\right]$ are both in REF, but  For example, $\left[\begin{smallmatrix} 1&2&3&4&5\\0&1&2&3&4\\0&0&1&2&3\end{smallmatrix}\right]$ and $\left[\begin{smallmatrix} 1&2&3&4&5\\0&1&2&3&4\\0&0&1&2&3\\0&0&0&0&0\end{smallmatrix}\right]$ are both in REF, but 
row_echelon_form.1453980323.txt.gz · Last modified: by rupert

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