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Passo 1 a 11 ≠ 0A non singolare, a 11 = 0 ⇒ ∃a j1 ≠ 0.Si scambiano fra loro la prima equazione con la j-esima e siprocede.Passo k+1m ik := a(k) ika (k)kka (k+1)ij= a (k)ij− m ik · a (k)kjper 1 ≤ k ≤ n − 1, k + 1 ≤ i ≤ n, k + 1 ≤ j ≤ n + 1.