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The Reduced Row Echelon Form of a Matrix Is Unique: A Simple Proof

by Thomas Yuster (Middlebury College)

This article originally appeared in:
Mathematics Magazine
March, 1984

Subject classification(s): Algebra and Number Theory | Linear Algebra | Systems of Linear Equations
Applicable Course(s): 3.8 Linear/Matrix Algebra

Using mathematical induction, the author provides a simple proof that the reduced row echelon form of a matrix is unique.

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Capsule Course Topic(s):
Linear Algebra | Solving Linear Systems: Gaussian Elimination
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