Rouché–Capelli theorem (Q2071632)
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theorem in linear algebra that a system of linear equations with n variables has solution(s) iff the rk(A) = rk([A|b]), and that if there are solutions, they form an affine space of dimension n−rk(A)
- Kronecker–Capelli theorem
- Rouché–Fontené theorem
- Rouché–Frobenius theorem
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rouché–Capelli theorem |
theorem in linear algebra that a system of linear equations with n variables has solution(s) iff the rk(A) = rk([A|b]), and that if there are solutions, they form an affine space of dimension n−rk(A) |
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Statements
Identifiers
Rouche-Capelli, teorema di
2013
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Wikipedia(24 entries)
- azwiki Kroneker-Kapelli teoremi
- cawiki Teorema de Rouché-Frobenius
- cswiki Frobeniova věta
- dewiki Satz von Kronecker-Capelli
- enwiki Rouché–Capelli theorem
- eswiki Teorema de Rouché–Frobenius
- euwiki Rouché–Frobeniusen teorema
- frwiki Théorème de Rouché-Fontené
- hewiki משפט רושה-קפלי
- hrwiki Kronecker-Capellijev teorem
- huwiki Kronecker–Capelli-tétel
- itwiki Teorema di Rouché-Capelli
- jawiki ルーシェ＝カペリの定理
- lmowiki Teurema da Rouché Frobenius
- plwiki Twierdzenie Kroneckera-Capellego
- ptwiki Teorema de Rouché-Capelli
- rowiki Teorema Kronecker-Capelli
- ruwiki Теорема Кронекера — Капелли
- sahwiki Теорема Кронекера-Капелли
- shwiki Kroneker-Kapelijeva teorema
- skwiki Frobeniova veta (matice)
- srwiki Кронекер-Капелијева теорема
- ukwiki Теорема Кронекера — Капеллі
- viwiki Định lý Rouché–Capelli