Suppose that T: U V is a surjective linear transformation and dim (U) = dim (V).

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Suppose that T: U → V is a surjective linear transformation and dim (U) = dim (V). Prove that T is injective.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:42 AM

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Suppose that T: U V is a surjective linear transformation and dim (U) = dim (V).

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If T is surjective then Theorem RSLT says RT V so r T dim by Definit...View the full answer

Linear Algebra

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