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)
Press Enter · cited answer in seconds
0 sources
Rouché–Capelli theorem
Summary
Rouché–Capelli theorem is a theorem[1]. It draws 41 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2]
Key Facts
- Rouché–Capelli theorem's instance of is recorded as theorem[3].
- Leopold Kronecker is named after Rouché–Capelli theorem[4].
- Alfredo Capelli is named after Rouché–Capelli theorem[5].
- Eugène Rouché is named after Rouché–Capelli theorem[6].
- Ferdinand Georg Frobenius is named after Rouché–Capelli theorem[7].
- Georges Fontené is named after Rouché–Capelli theorem[8].
- Rouché–Capelli theorem's part of is recorded as list of theorems[9].
- Rouché–Capelli theorem's Freebase ID is recorded as /m/0czdb75[10].
- Rouché–Capelli theorem's computes solution to is recorded as system of linear equations[11].
- Rouché–Capelli theorem's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- Rouché–Capelli theorem's Visuotinė lietuvių enciklopedija ID is recorded as kroneckerio-ir-capelli-teorema[13].
- Rouché–Capelli theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-rouche-capelli[14].
- Rouché–Capelli theorem's Great Russian Encyclopedia portal ID is recorded as teorema-kronekera-kapelli-e59fb0[15].
Why It Matters
Rouché–Capelli theorem draws 41 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[16] It is known by 22 alternative names across languages and contexts.[17]