Suma de matrice de rang 1

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Alex Dura
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Suma de matrice de rang 1

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Fie \( A\in M_n(\mathbb{C}) \), astfel incat \( rangA=r\geq1 \). Demonstrati ca \( A \) se poate scrie ca suma a \( r \) matrice \( P_k\in M_n(\mathbb{C}) \) cu proprietatea ca \( rangP_k=1 \), \( k=\overline{1,r}. \)
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