diagonalize Synonyms

No Synonyms and anytonyms found

diagonalize Meaning

Wordnet

diagonalize (v)

transform a matrix to a diagonal matrix

diagonalize Sentence Examples

  1. To diagonalize a matrix, one seeks to find a set of linearly independent eigenvectors.
  2. It's essential to understand the conditions under which a matrix can be diagonalized.
  3. The process of diagonalizing a matrix involves transforming it into a diagonal matrix through similarity transformations.
  4. We can diagonalize a square matrix if it possesses a full set of linearly independent eigenvectors.
  5. Diagonalizing a matrix simplifies computations and reveals its inherent properties.
  6. Through diagonalization, we can analyze the behavior of systems governed by matrices more effectively.
  7. Certain matrices are not easily diagonalizable due to their lack of sufficient eigenvectors.
  8. The theorem guarantees that every symmetric matrix is diagonalizable.
  9. Diagonalizing matrices is a common task in fields such as quantum mechanics and control theory.
  10. Mastering the techniques to diagonalize matrices is essential for advancing in linear algebra and related disciplines.

FAQs About the word diagonalize

transform a matrix to a diagonal matrix

No synonyms found.

No antonyms found.

To diagonalize a matrix, one seeks to find a set of linearly independent eigenvectors.

It's essential to understand the conditions under which a matrix can be diagonalized.

The process of diagonalizing a matrix involves transforming it into a diagonal matrix through similarity transformations.

We can diagonalize a square matrix if it possesses a full set of linearly independent eigenvectors.