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row_echelon_form
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| row_echelon_form [2015/01/29 11:32] – rupert | row_echelon_form [2016/01/28 11:27] (current) – rupert | ||
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| A matrix is in **row echelon form**, or **REF**, if it has all of the following three properties: | A matrix is in **row echelon form**, or **REF**, if it has all of the following three properties: | ||
| - | - The zero rows of the matrix (if any) are all at the bottom of the matrix. | + | - The [[zero rows]] of the matrix (if any) are all at the bottom of the matrix. |
| - | - 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 $i$. < | - 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 $i$. < | ||
row_echelon_form.1422531162.txt.gz · Last modified: by rupert