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diagonalisation.

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

15 characters6 syllables approx.English language

Meaning & usage

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

    countable · uncountable
  2. An 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.

    countable · uncountable
Where this word comes from

From diagonal + -isation.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.