Phrase guide

symplectic 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.

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Pronunciation

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1

noun

Meaning 1

For given field F (especially the real numbers), even order 2n and nonsingular skew-symmetric matrix Ω, any 2n×2n matrix M with elements in F such that MTΩM = Ω (where MT denotes the transpose of M).

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

5 source translations are retained for this English entry.

  • Chinese Mandarin: 辛矩陣 /辛矩阵 (xīnjǔzhèn) — matrix M such that MTΩM eq Ω
  • Finnish: symplektinen matriisi — matrix M such that MTΩM eq Ω
  • French: matrice symplectique — matrix M such that MTΩM eq Ω
  • German: symplektische Matrix — matrix M such that MTΩM eq Ω
  • Italian: matrice simplettica — matrix M such that MTΩM eq Ω