Show that every homomorphism from R1 to R1 acts via multiplication by a scalar. Conclude that every

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Show that every homomorphism from R1 to R1 acts via multiplication by a scalar. Conclude that every nontrivial linear transformation of R1 is an isomorphism. Is that true for transformations of R2? Rn?

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:00 AM

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Show that every homomorphism from R1 to R1 acts via multiplication by a scalar. Conclude that every

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Let h R 1 R 1 be linear A linear map is determined ...View the full answer

Linear Algebra

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