Definition of Diagonalize

1. Verb. Transform a matrix to a diagonal matrix.

Exact synonyms: Diagonalise
Generic synonyms: Transform, Translate
Derivative terms: Diagonal, Diagonalisation, Diagonal, Diagonalization

Definition of Diagonalize

1. Verb. (mathematics transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse. ¹

¹ Source: wiktionary.com

Definition of Diagonalize

1. [v -IZED, -IZING, -IZES]

Lexicographical Neighbors of Diagonalize

diagonal elements
diagonal matrix
diagonal section
diagonalis stria
diagonalisability
diagonalisation
diagonalisations
diagonalise
diagonalised
diagonalises
diagonalising
diagonalizability
diagonalizable
diagonalization
diagonalizations
diagonalize (current term)
diagonalized
diagonalizes
diagonalizing
diagonally
diagonals
diagonial
diagram
diagram chase
diagram chases
diagram chasing
diagramed
diagraming
diagramless
diagrammable

Literary usage of Diagonalize

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"diagonalize the matrix g. Anything commuting with g must ghen preserve the eigenvectors for ... Since B is a skew—Hermitian matrix, we can diagonalize it. ..."

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