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Why is a zero matrix a reduced row echelon from?

Doesn't a matrix need to have a leading $1$ in order to be a reduced row echelon?

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closed as off-topic by Chappers, Servaes, user91500, Najib Idrissi, colormegone Sep 23 '15 at 14:27

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No. The definition of row-echelon form says that all non-zero rows must start with a one. Otherwise it would be impossible to reduce a matrix like:

$$ \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix} $$

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