Rouché–Capelli theorem
Sign in to saveAlso known as Kronecker–Capelli theorem, Rouché–Fontené theorem, Rouché–Frobenius 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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- system of linear equations
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