Phrase guide

invertible matrix

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Any n×n square matrix for which there exists a corresponding inverse matrix (i.e., a second (or possibly the same) matrix such that when the two are multiplied by each other, in either order, the result is the n×n identity matrix).

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

Examples

  • 1975 [Prentice-Hall], Kenneth Hoffman, Analysis in Euclidean Space, Dover, 2007, page 65, It says that, if A is a singular matrix, then every neighborhood of A contains an invertible matrix. In other words, if A is singular, we can perturb A just a little and obtain an invertible matrix.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

9 source translations are retained for this English entry.

  • Finnish: kääntyvä matriisi — square matrix which, when multiplied by some other, yields the identity matrix
  • German: invertierbare Matrix — square matrix which, when multiplied by some other, yields the identity matrix
  • German: reguläre Matrix — square matrix which, when multiplied by some other, yields the identity matrix
  • Hungarian: invertálható mátrix — square matrix which, when multiplied by some other, yields the identity matrix
  • Italian: matrice invertibile — square matrix which, when multiplied by some other, yields the identity matrix
  • Japanese: 正則行列 (seisoku gyōretsu) — square matrix which, when multiplied by some other, yields the identity matrix
  • Polish: macierz odwrotna — square matrix which, when multiplied by some other, yields the identity matrix
  • Romanian: matrice inversabilă — square matrix which, when multiplied by some other, yields the identity matrix
  • Swedish: inverterbar matris — square matrix which, when multiplied by some other, yields the identity matrix