eigen Sentence Examples

  1. The eigenvalue of the matrix A is a scalar that characterizes its spectral properties.
  2. The eigenvectors of a matrix A are the nonzero vectors that remain unchanged in direction when multiplied by A.
  3. The eigenfunctions of a differential operator are the functions that are multiplied by a constant when the operator is applied.
  4. Eigenvalues and eigenvectors are fundamental concepts in linear algebra and quantum mechanics.
  5. The eigenvalues of a hermitian matrix are always real.
  6. The eigenvectors of a symmetric matrix form an orthonormal basis.
  7. The eigenvalues of a non-symmetric matrix can be complex.
  8. The eigenspaces of a matrix are the subspaces spanned by its eigenvectors.
  9. The eigenvalues of a matrix can be used to determine its stability.
  10. The eigenfrequencies of a vibrating object are the frequencies at which it naturally resonates.

eigen Meaning

Wordnet

eigen (n)

German chemist who did research on high-speed chemical reactions (born in 1927)

Synonyms & Antonyms of eigen

No Synonyms and anytonyms found

FAQs About the word eigen

German chemist who did research on high-speed chemical reactions (born in 1927)

No synonyms found.

No antonyms found.

The eigenvalue of the matrix A is a scalar that characterizes its spectral properties.

The eigenvectors of a matrix A are the nonzero vectors that remain unchanged in direction when multiplied by A.

The eigenfunctions of a differential operator are the functions that are multiplied by a constant when the operator is applied.

Eigenvalues and eigenvectors are fundamental concepts in linear algebra and quantum mechanics.