Question

define rouchies theorem

Answer 1

The Rouché–Capelli theorem is a theorem in linear algebra that 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:

Kronecker–Capelli theorem in Poland, Romania and Russia;

Rouché–Capelli theorem in Italy;

Rouché–Fontené theorem in France;

Rouché–Frobenius theorem in Spain and many countries in Latin America.

Answer 2

Hey mate!!!


here is the answer......


Rouché's theorem, named after Eugène Rouché states that for any two complex - valued functions f and g holomorphic inside some region with closed contour, if |g| < |f| and f+g have the same number of zeroes inside , where each zero is counted as many times as it's multiplicity.....



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