Determine whether each of the following transformations T has an inverse and, if so, determine the action

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Determine whether each of the following transformations T has an inverse and, if so, determine the action of T-1.
(a) T: R4 †’ R4;
T(x, y, z, t) = (x + y, y + z, z + t, t + x)
(b)

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:46 AM

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Determine whether each of the following transformations T has an inverse and, if so, determine the action

Question:

a+2e b+2d 3e-a 3d-b M 7-| T: M2

Step by Step Answer:

a No inverse For example T11 11 0 0 0 0 so 11 11 is a nonzero vector in ker T Hence T is not onetoon...View the full answer

Linear Algebra With Applications

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