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7.3 Isomorphisms and Composition

7.3 Isomorphisms and Composition. Definition. T: V?W, a LT, is an isomorphism if it is both onto and one-to-one. The vector spaces V and W are called isomorphic if there exists an isomorphism T: V?W. (see examples on p. 362). Theorem 1:.

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7.3 Isomorphisms and Composition