When writing a matrix in row echelon form using gaussians elimination, is there only one correct outcome?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 5ECP: Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced...
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When writing a matrix in row echelon form using gaussians elimination, is there only one correct outcome?

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So is there more than one correct outcome to a matrix in row ecehlon form?

If each row has leading 1, every entry below the leading 1 is 0, and it was found by using the three types of elementary row operations is it correct? 

And is there a way of checking if your row echelon form matrix is correct?

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