positive-definite

adjective

Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.

Opposite
negative-definite
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Meanings

adjectivepositive-definite (not comparable)

alternative positive definite

  1. not comparablelinear algebraSaid of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.
  2. not comparablelinear algebraSaid of a quadratic form: that the application of it to a tuple is greater or equal to zero, only equaling zero if the tuple itself is zero.

Synonyms & antonyms

Opposite
negative-definite
Cite this entry
APA

positive-definite. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/positive-definite

MLA

“positive-definite.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/positive-definite. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “positive-definite,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/positive-definite.

Source: positive-definite on Wiktionary, CC BY-SA 4.0.