diagonalisation

English

Alternative forms

Etymology

diagonal +‎ -isation

Noun

diagonalisation (countable and uncountable, plural diagonalisations)

  1. (UK, mathematics) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.
  2. (UK, mathematics) 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.
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