diagonalize (Meaning)
Wordnet
diagonalize (v)
transform a matrix to a diagonal matrix
Synonyms & Antonyms of diagonalize
No Synonyms and anytonyms found
diagonalize Sentence Examples
- 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.
- Diagonalizing a matrix simplifies computations and reveals its inherent properties.
- Through diagonalization, we can analyze the behavior of systems governed by matrices more effectively.
- Certain matrices are not easily diagonalizable due to their lack of sufficient eigenvectors.
- The theorem guarantees that every symmetric matrix is diagonalizable.
- Diagonalizing matrices is a common task in fields such as quantum mechanics and control theory.
- 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.
