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| | '''[[Eugène Rouché|Rouché]]–[[Alfredo Capelli|Capelli]] theorem''' is the theorem in [[linear algebra]] that allows computing the number of solutions in a [[system of linear equations]] given the ranks of its [[augmented matrix]] and [[coefficient matrix]]. The theorem is known as '''[[Leopold Kronecker|Kronecker]]–Capelli theorem''' in Russia, '''Rouché–Capelli theorem''' in Italy, '''Rouché–Fontené theorem''' in France and '''Rouché–[[Ferdinand Georg Frobenius|Frobenius]]''' theorem in Spain and many countries in Latin America. |
