diagonalise (Meaning)
Wordnet
diagonalise (v)
transform a matrix to a diagonal matrix
Synonyms & Antonyms of diagonalise
No Synonyms and anytonyms found
diagonalise Sentence Examples
- 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.
- Once diagonalised, computations such as matrix exponentiation become much easier.
- Diagonalising a matrix is essential in various fields such as quantum mechanics and control theory.
- A symmetric matrix can be diagonalised by finding its orthogonal eigenvectors.
- The goal of diagonalisation is to make the matrix representation simpler and easier to work with.
- Computer algorithms are available to automate the process of diagonalising matrices.
- 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.
