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characteristic root. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Etymology
Calque of French racine caractéristique, the term preferred by French mathematician Augustin-Louis Cauchy (1789–1857).
Noun
characteristic root (plural characteristic roots)
- (linear algebra) An eigenvalue.
- 1962 , Leonard E. Fuller, Basic Matrix Theory, 2017, Dover, page 217,
- There is an important relationship between the characteristic roots of a symmetric matrix and the r and p of the associated quadratic form. It is true that the number of positive characteristic roots is p, whereas the number of nonzero characteristic roots is r.
- 2009, Babu Ram, Engineering Mathematics, Pearson Education India, page 13.56,
- Theorem 13.54. The characteristic roots of a Hermitian matrix are real.