Let T: R3 V be a linear transformation from R3 to any vector space. Show that

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Let T: R3 → V be a linear transformation from R3 to any vector space. Show that the kernel of T is a line through the origin, a plane through the origin, the origin only, or all of R3.

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:11 AM

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Let T: R3 V be a linear transformation from R3 to any vector space. Show that

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By Theorem 821 the kernel of T is a subspace of R ...View the full answer

Elementary Linear Algebra with Applications

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