Determinantal identities over commutative semirings (Q1434389)
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scientific article; zbMATH DE number 2081240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinantal identities over commutative semirings |
scientific article; zbMATH DE number 2081240 |
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Determinantal identities over commutative semirings (English)
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4 August 2004
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The authors present a development of determinantal identities over commutative semirings. This includes the following themes: 1. Positive and negative determinants; 2. Determinantal identities; 3. Adjoint matrix identities; 4. A generalization of the Cauchy-Binet theorem; 5. Compound matrices; 6. Identities over semirings; 7. Laplace's expansion over semiring and the Laplace theorem. There are many examples in the paper.
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determinant
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Laplace theorem
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Cauchy-Binet theorem
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determinantal identities
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commutative semirings
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adjoint matrix identities
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compound matrices
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