What does "row-reduced" mean?

Said of a matrix which has undergone row reduction; i.e., of a matrix which has a 1 as the leading entry of each one of its non-zero rows and which has zeroes as all the other entries of any column containing such a leading entry (of any non-zero row).

Row-reduced

adj

adj ·Rare ·Advanced level

Definitions

Adjective

1
Said of a matrix which has undergone row reduction; i.e., of a matrix which has a 1 as the leading entry of each one of its non-zero rows and which has zeroes as all the other entries of any column containing such a leading entry (of any non-zero row). not-comparable

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.