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In linear algebra/linear programming, what is the difference between the Echelon method and the Simplex method? Are they the same? The simplex method seems to

In linear algebra/linear programming, what is the difference between the Echelon method and the Simplex method?

Are they the same? The simplex method seems to be a means of getting a system of linear equations or inequalities into reduced row echelon form, wouldn't this make it the same as the Echelon method?

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