Definition of row equivalent matrices

Created almost 9 years ago, updated about 8 hours ago

Matrices $A$ and $B$ are row equivalent if a finite sequence of elementary row operations transforms one into the other. Equivalently, $B=EA$ for an invertible product $E$ of elementary matrices. They have the same reduced row-echelon form, rank, row space, and null space. Their column spaces need not be equal.

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