Let T: M22 R be the linear transformation defined by T(A) = tr(A). (a) Which, if any,

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Let T: M22 †’ R be the linear transformation defined by T(A) = tr(A).
(a) Which, if any, of the following matrices are in ker(T)?
(i)

(ii)

(iii)

(b) Which, if any, of the following scalars are in range(T)?
(i) 0
(ii) 2
(iii) ˆš2
(c) Describe ker(T) and range(T).

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:29 AM

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Let T: M22 R be the linear transformation defined by T(A) = tr(A). (a) Which, if any,

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a T is explicitly defined by Thus i ii iii b Al...View the full answer

Linear Algebra A Modern Introduction

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