Word Pronunciation & Dictionary

characteristic root

Word Rarity Rare

Frequency: Zipf frequency 3.84 in modern English

Syllables: char-ac-ter-is-tic -root
IPA

27

Scrabble Score

18

Letters

6

Syllables

9

Unique Chars

Meaning

noun

Example Sentences

"1962 [Prentice Hall], 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."
"The determinant of a matrix is the product of its characteristic roots."
"2009, Babu Ram, Engineering Mathematics, Pearson Education India, page 13.56, Theorem 13.54. The characteristic roots of a Hermitian matrix are real."

Etymology

Calque of French racine caractéristique, the term preferred by French mathematician Augustin-Louis Cauchy (1789–1857).

Inflected Forms

characteristic roots (plural)

Phrases

characteristic polynomial characteristic vector

Frequently Paired Words

characteristic polynomial characteristic vector

Questions

What does characteristic root mean?: An eigenvalue.
Where does characteristic root come from?: Calque of French racine caractéristique, the term preferred by French mathematician Augustin-Louis Cauchy (1789–1857).

How to pronounce characteristic root

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