Definitions for diagonalisation
di·ag·o·nal·i·sa·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. diagonalization, diagonalisationnoun

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

   "the diagonalization of a normal matrix by a unitary transformation"

WiktionaryRate this definition:0.0 / 0 votes

1. diagonalisationnoun

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

2. Etymology: diagonal + -isation

ChatGPTRate this definition:0.0 / 0 votes

1. diagonalisation

   Diagonalisation in linear algebra is the process of finding a corresponding diagonal matrix for a given square matrix. It involves re-expressing the square matrix as the product of three matrices: an invertible matrix, a diagonal matrix, and the inverse of the invertible matrix. The elements of the diagonal matrix are the eigenvalues of the original matrix, and the columns of the invertible matrix are the corresponding eigenvectors. This process allows the simplification of many calculations and is extensively used in several areas of mathematics and engineering.

Matched Categories

1. • Matrix Algebra
   • Resolution

Usage in printed sourcesFrom: 

1. [["1938","1"],["1941","2"],["1950","1"],["1953","2"],["1956","3"],["1957","1"],["1958","9"],["1959","2"],["1960","1"],["1962","16"],["1963","8"],["1964","5"],["1965","8"],["1966","17"],["1967","4"],["1968","18"],["1969","21"],["1970","7"],["1971","10"],["1972","23"],["1973","48"],["1974","37"],["1975","38"],["1976","31"],["1977","27"],["1978","18"],["1979","24"],["1980","33"],["1981","27"],["1982","26"],["1983","36"],["1984","33"],["1985","35"],["1986","48"],["1987","64"],["1988","60"],["1989","53"],["1990","80"],["1991","93"],["1992","50"],["1993","53"],["1994","35"],["1995","62"],["1996","71"],["1997","53"],["1998","86"],["1999","117"],["2000","148"],["2001","120"],["2002","66"],["2003","205"],["2004","117"],["2005","117"],["2006","256"],["2007","118"],["2008","51"]]

How to pronounce diagonalisation?

1. Alex

   US English

   David

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   Mark

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   Daniel

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   Libby

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   Mia

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How to say diagonalisation in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of diagonalisation in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of diagonalisation in Pythagorean Numerology is: 6

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=diagonalisation
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Diagonalisation
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=diagonalisation