WordNet-Online
Free dictionary and thesaurus of English. Definitions, synonyms, antonyms and more...
Hint: double-click any word to get it searched!

Google
 

diagonalise

 

Definitions from WordNet

Verb diagonalise has 1 sense
  1. diagonalize, diagonalise - transform a matrix to a diagonal matrix
    --1 is one way to translate, transform
    Derived forms: noun diagonalisation1, noun diagonal4
    Sample sentence:
    Somebody ----s something

Definitions from the Web

Term: Diagonalise

Description:

Diagonalise is a mathematical term used in linear algebra to describe the process of transforming a matrix into a diagonal matrix. It involves finding a matrix that has the same eigenvectors as the original matrix. This technique is essential in various mathematical and scientific applications, such as solving systems of linear differential equations and optimizing eigenvalue problems.

Sample Sentences:

Verb (Transitive):

  1. To diagonalise a square matrix, you need to find its eigenvalues and eigenvectors first.
  2. The mathematician used complex algorithms to diagonalise the large matrix, simplifying the subsequent calculations.

Verb (Intransitive):

  1. The matrix diagonalises easily due to its symmetric properties.
  2. We studied how certain matrices diagonalise more readily than others in our linear algebra class.

Related Products:

diagnostic test diagnostic utility diagnostician diagnostics diagonal diagonal line diagonal matrix diagonalisation diagonalise diagonalizable diagonalization diagonalize diagonally diagonastic diagonise diagonistics diagonize

Sponsored (shop thru our affiliate link to help maintain this site):

WordNet-Online
Home | Free dictionary software | Copyright notice | Contact us | Network & desktop search | Search My Network | LAN Find | Reminder software | Software downloads | WordNet dictionary | Automotive thesaurus