Must the leading entry in a Reduced Echelon Form be a 1
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Must the leading entry in a Reduced Echelon Form be a 1

[From: ] [author: ] [Date: 11-05-22] [Hit: ]
If you have a row with a leading entry of 5, you may multiply each entry in that row by a scalar constant of 1/5 to get a leading 1.......
In a Reduced Echelon Form matrix, must the leading entry be a 1? Can a leading entry be not a 1, say 5, and still considered as a Reduced Echelon Form?

Thanks.

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Yes, the leading entry of each non-zero row must be 1.

If you have a row with a leading entry of 5, you may multiply each entry in that row by a scalar constant of 1/5 to get a leading 1.
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