diagonalisation

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noun

In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.

Scrabble 17

Meanings

noundiagonalisation (countable and uncountable, plural diagonalisations)

plural diagonalisations · alternative diagonalization

  1. countableuncountablemathematicsIn matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.
  2. countableuncountablemathematicsAn argument used in proof by contradiction by constructing a supposedly exhaustive list of all members of a class, and then subsequently constructing a new member which differs from each existing member in at least one place and therefore cannot belong to the list.

Synonyms & antonyms

nounchanging a square matrix to diagonal form (with all non-zero elements on the principal diagonal)

Synonym sets from Open English WordNet, CC BY 4.0.

Origin

Cite this entry
APA

diagonalisation. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/diagonalisation

MLA

“diagonalisation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/diagonalisation. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “diagonalisation,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/diagonalisation.

Source: diagonalisation on Wiktionary, CC BY-SA 4.0.