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characteristic polynomials

characteristic polynomials is the plural of characteristic polynomial.

Meaning of characteristic polynomial

Noun

characteristic polynomial (plural characteristic polynomials)

  1. The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
    • The characteristic polynomial of #92;textstyle#92;left(#92;begin#123;array#125;#123;cc#125;1amp;4#92;#92;3amp;-5#92;end#123;array#125;#92;right) is #92;textstyle#92;left#92;vert#92;begin#123;array#125;#123;cc#125;1-xamp;4#92;#92;3amp;-5-x#92;end#123;array#125;#92;right#92;vert#61;x²#43;4x-17.
  2. A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).

Questions about characteristic polynomials

What is characteristic polynomials the plural of?
Characteristic polynomials is the plural of characteristic polynomial.

Words near characteristic polynomials in the dictionary

  1. characterist
  2. characteristic
  3. characteristic function
  4. characteristic functions
  5. characteristic polynomial
  6. characteristic polynomials
  7. characteristic root
  8. characteristic roots
  9. characteristic time
  10. characteristic times
  11. characteristic value

Source and license

Adapted from Wiktionary: characteristic polynomials (page history and authors); characteristic polynomial (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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