A Simple Proof of a Generalized Cauchy–Binet Theorem
The Cauchy–Binet theorem is the main step in proving the multiplicative property of compound matrices. We present here a novel elementary proof of a generalization of the Cauchy–Binet theorem using properties of square matrices.
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| Veröffentlicht in: | The American mathematical monthly 2016-11, Vol.123 (9), p.928-930 |
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| container_end_page | 930 |
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| container_issue | 9 |
| container_start_page | 928 |
| container_title | The American mathematical monthly |
| container_volume | 123 |
| creator | Hoffman, Alan J Wu, Chai Wah |
| description | The Cauchy–Binet theorem is the main step in proving the multiplicative property of compound matrices. We present here a novel elementary proof of a generalization of the Cauchy–Binet theorem using properties of square matrices. |
| doi_str_mv | 10.4169/amer.math.monthly.123.9.928 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0002-9890 |
| ispartof | The American mathematical monthly, 2016-11, Vol.123 (9), p.928-930 |
| issn | 0002-9890 1930-0972 |
| language | eng |
| recordid | cdi_proquest_journals_1838431606 |
| source | Jstor Complete Legacy; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection; JSTOR Mathematics & Statistics |
| subjects | Coefficients Linear algebra Mathematical theorems Matrices Matrix Matrix identities Polynomials Proof theory Theorems |
| title | A Simple Proof of a Generalized Cauchy–Binet Theorem |
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