diagonalizable (Meaning)
Wordnet
diagonalizable (a)
capable of being transformed into a diagonal matrix
Synonyms & Antonyms of diagonalizable
No Synonyms and anytonyms found
diagonalizable Sentence Examples
- The matrix is diagonalizable, meaning it can be transformed into a diagonal matrix through a similarity transformation.
- An n × n matrix is diagonalizable if and only if it has n linearly independent eigenvectors.
- The theorem guarantees that every symmetric matrix is diagonalizable.
- The complex matrix is not diagonalizable since it doesn't have enough linearly independent eigenvectors.
- A square matrix is said to be diagonalizable if it is similar to a diagonal matrix.
- To determine if a matrix is diagonalizable, one often examines its eigenvalues and eigenvectors.
- The property of being diagonalizable is crucial in various areas of linear algebra and its applications.
- It's important to understand the conditions under which a given matrix is diagonalizable.
- Certain types of matrices, like nilpotent matrices, may not always be diagonalizable.
- We studied the process of diagonalization to transform a given matrix into a diagonalizable form using suitable transformations.
FAQs About the word diagonalizable
capable of being transformed into a diagonal matrix
No synonyms found.
No antonyms found.
The matrix is diagonalizable, meaning it can be transformed into a diagonal matrix through a similarity transformation.
An n × n matrix is diagonalizable if and only if it has n linearly independent eigenvectors.
The theorem guarantees that every symmetric matrix is diagonalizable.
The complex matrix is not diagonalizable since it doesn't have enough linearly independent eigenvectors.
