diagonalise Antonyms

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Meaning of diagonalise

Wordnet

diagonalise (v)

transform a matrix to a diagonal matrix

diagonalise Sentence Examples

  1. In linear algebra, one common task is to diagonalise a matrix to simplify calculations.
  2. To diagonalise a matrix, you need to find a set of eigenvectors that form a basis for the vector space.
  3. By diagonalising a matrix, you transform it into a simpler form where non-zero elements are only along the diagonal.
  4. The process of diagonalising a matrix often involves finding its eigenvalues and corresponding eigenvectors.
  5. Once diagonalised, computations such as matrix exponentiation become much easier.
  6. Diagonalising a matrix is essential in various fields such as quantum mechanics and control theory.
  7. A symmetric matrix can be diagonalised by finding its orthogonal eigenvectors.
  8. The goal of diagonalisation is to make the matrix representation simpler and easier to work with.
  9. Computer algorithms are available to automate the process of diagonalising matrices.
  10. Diagonalisation is a powerful technique that helps in solving systems of linear equations and understanding the properties of matrices.

FAQs About the word diagonalise

transform a matrix to a diagonal matrix

No synonyms found.

No antonyms found.

In linear algebra, one common task is to diagonalise a matrix to simplify calculations.

To diagonalise a matrix, you need to find a set of eigenvectors that form a basis for the vector space.

By diagonalising a matrix, you transform it into a simpler form where non-zero elements are only along the diagonal.

The process of diagonalising a matrix often involves finding its eigenvalues and corresponding eigenvectors.