Word.ws English Dictionary

Sylvester's formula

Sylvester's formula proper noun: a formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A.

Proper noun

Sylvester's formula

  1. A formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A.
  2. A particular interpretation of the sum of three pairwise distinct vectors of equal length in the context of triangle geometry.

Origin of Sylvester's formula

Named after James Joseph Sylvester.

Questions about Sylvester's formula

What does Sylvester's formula mean?
Sylvester's formula means a formula that expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A.
What part of speech is Sylvester's formula?
Sylvester's formula is a proper noun.

Words near Sylvester's formula in the dictionary

  1. Sylves
  2. sylvester
  3. Sylvester equation
  4. Sylvester equations
  5. Sylvester's criterion
  6. Sylvester's formula
  7. Sylvester-Gallai theorem
  8. sylvesters
  9. sylvestrene
  10. sylvestrian
  11. Sylvestrine

Source and license

Adapted from Wiktionary: Sylvester's formula (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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