Rouché–Capelli theorem (Q6481254)
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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
kroneckerio-ir-capelli-teorema
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teorema-kronekera-kapelli-e59fb0
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teorema-di-rouche-capelli
Rouche-Capelli, teorema di
2013
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