Let : V V' be a linear transformation of finite dimensional vector spaces V and V'

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Let ∫: V → V' be a linear transformation of finite dimensional vector spaces V and V' such that dim V = dim V'. Then the following conditions are equivalent: (i) ∫ is an isomorphism; (ii) ∫ is an epimorphism; (iii) ∫ is a monomorphism.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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Let : V V' be a linear transformation of finite dimensional vector spaces V and V'

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To show that the conditions i ii and iii are equivalent we need to show that each condition implies ...View the full answer

Algebra Graduate Texts In Mathematics 73

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