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Soit \(f \in \mathcal{L} (E)\) telle que \(f^3 = f^2 + f\). Montrer que \(E = \ker (f) \oplus \text{Im} (f)\) (on remarquera que \(f \circ (f^2-f-id) = 0\)).
Soit \(f \in \mathcal{L} (E)\) telle que \(f^3 = f^2 + f\). Montrer que \(E = \ker (f) \oplus \text{Im} (f)\) (on remarquera que \(f \circ (f^2-f-id) = 0\)).