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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 />

Alte opera¸tii cu transformări<br />

Teoremă<br />

Proprietă¸ti. Opera¸tii<br />

Nucleul ¸si imagine<br />

Rangul ¸si defectul unei transformări<br />

Fie U, V , W spa¸tii <strong>liniare</strong> peste Γ ¸si f ∈ L(U, V ), g ∈ L(V , W ).<br />

Atunci g ◦ f ∈ L(U, W )<br />

Teoremă<br />

Fie f ∈ L(U, V ) o transformare liniară bijectivă. Atunci există<br />

f −1 ¸si f −1 ∈ L(V , U).<br />

Transformări <strong>liniare</strong>

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