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Transformari liniare

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No¸tiunea de transformare liniară<br />

Transformări <strong>liniare</strong> între spa¸tii finit dimensionale<br />

Valori ¸si vectori proprii<br />

Nucleul ¸si imagine<br />

Defini¸tie<br />

Proprietă¸ti. Opera¸tii<br />

Nucleul ¸si imagine<br />

Rangul ¸si defectul unei transformări<br />

Numim nucleu al transformării <strong>liniare</strong> f : V → W mul¸timea<br />

Defini¸tie<br />

Ker f = {u ∈ V | f (u) = 0W .}<br />

Numim imagine a transformării <strong>liniare</strong> f : V → W mul¸timea<br />

Im f = {v ∈ W | ∃u ∈ V , f (u) = v}.<br />

Transformări <strong>liniare</strong>

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