In each part, find ker(T), and determine whether the linear transformation T is one-to-one. (a) T: R2

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In each part, find ker(T), and determine whether the linear transformation T is one-to-one.
(a) T: R2 → R2, where T(x, y) = (y, x)
(b) T: R2 → R2, where T(x, y) = (x + y, x - y)
(c) T: R2 → R3, where T(x, y) = (x - y, y - x, 2x - 2y)

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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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In each part, find ker(T), and determine whether the linear transformation T is one-to-one. (a) T: R2

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a Clearly ker T 0 0 so T is onetoone b Since Tx y 0 0 if and on...View the full answer

Elementary Linear Algebra with Applications

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