"characteristic polynomial" meaning in English

See characteristic polynomial in All languages combined, or Wiktionary

Noun

Forms: characteristic polynomials [plural]
Head templates: {{en-noun}} characteristic polynomial (plural characteristic polynomials)
  1. (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant. Categories (topical): Linear algebra, Algebra, Mathematics Related terms: characteristic equation, characteristic root, characteristic vector, minimal polynomial, eigenvector, eigenvalue Translations (linear algebra): karakteristlik polünoom (Estonian), karakteristinen polynomi (Finnish), polynôme caractéristique [masculine] (French), charakteristiches Polynom [neuter] (German), karakterisztikus polinom (Hungarian), polinomio caratteristico [masculine] (Italian), polinómio característico [masculine] (Portuguese), polinômio característico [Brazil, masculine] (Portuguese), polinom caracteristic [neuter] (Romanian), polinomio característico [masculine] (Spanish), karakteristiskt polynom [neuter] (Swedish)
    Sense id: en-characteristic_polynomial-en-noun-aJsN4Lc6 Disambiguation of Algebra: 51 49 Disambiguation of Mathematics: 50 50 Categories (other): English entries with incorrect language header, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 55 45 Disambiguation of English terms with non-redundant non-automated sortkeys: 51 49 Topics: linear-algebra, mathematics, sciences Disambiguation of 'linear algebra': 60 40
  2. (mathematics) 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). Categories (topical): Mathematics, Algebra, Mathematics
    Sense id: en-characteristic_polynomial-en-noun-kT7KyV0v Disambiguation of Algebra: 51 49 Disambiguation of Mathematics: 50 50 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 55 45 Disambiguation of English entries with topic categories using raw markup: 41 59 Disambiguation of English terms with non-redundant non-automated sortkeys: 51 49 Topics: mathematics, sciences

Inflected forms

Download JSON data for characteristic polynomial meaning in English (6.2kB)

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          "text": "The characteristic polynomial of (cc 1 4\\3-5) is |cc 1-x 4\\3-5-x|=x²+4x-17."
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          "text": "The characteristic polynomial of a 2×2 matrix M is λ²- mbox tr(M)λ+ mbox det(M), where mbox tr(M) denotes the trace of M and mbox det(M) denotes the determinant of M."
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          "text": "The characteristic polynomial of a 3×3 matrix M is -λ³+ mbox tr(M)λ²- mbox tr( mbox adj(M))λ+ mbox det(M), where mbox adj(M) denotes the adjugate of M."
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        "(linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant."
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      "code": "et",
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      "word": "karakteristlik polünoom"
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      "sense": "linear algebra",
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    },
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      "tags": [
        "masculine"
      ],
      "word": "polinomio caratteristico"
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        "neuter"
      ],
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    },
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      "lang": "Spanish",
      "sense": "linear algebra",
      "tags": [
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      "word": "polinomio característico"
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