Concept information
Preferred term
Rouché-Fontené theorem
Definition
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In linear algebra, the Rouché–Capelli theorem determines the number of solutions for a system of linear equations, given the rank of its augmented matrix and coefficient matrix. The theorem is variously known as the:
- Rouché–Capelli theorem in English speaking countries, Italy and Brazil;
- Kronecker–Capelli theorem in Austria, Poland, Ukraine, Croatia, Romania, Serbia and Russia;
- Rouché–Fontené theorem in France;
- Rouché–Frobenius theorem in Spain and many countries in Latin America;
- Frobenius theorem in the Czech Republic and in Slovakia.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Rouch%C3%A9%E2%80%93Capelli_theorem)
Broader concept
Entry terms
- Kronecker-Capelli theorem
- Rouché-Capelli theorem
- Rouché-Frobenius theorem
In other languages
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French
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théorème de Kronecker-Capelli
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théorème de Rouché-Capelli
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théorème de Rouché-Frobenius
URI
http://data.loterre.fr/ark:/67375/PSR-BT3LFFL3-G
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